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Finding the Fourth Proportional to 5,642,683.96, 8,462,894.30 and 2,762,809.96

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Solution

The fourth proportional to 5,642,683.96, 8,462,894.30 and 2,762,809.96 is: 4,143,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,683.96 : 8,462,894.30 = 2,762,809.96 : x
  2. Step 2: Convert to fraction form
    5,642,683.96/8,462,894.30 = 2,762,809.96/x
  3. Step 3: Cross multiply
    5,642,683.96x = 8,462,894.30 × 2,762,809.96
  4. Step 4: Simplify right side
    5,642,683.96x = 23,381,368,606,338.71
  5. Step 5: Solve for x
    x = 23,381,368,606,338.71/5,642,683.96
  6. Step 6: Final answer
    x = 4,143,660.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.