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Finding the Fourth Proportional to 4,649.81, 6,972.96 and 1,875.77

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Solution

The fourth proportional to 4,649.81, 6,972.96 and 1,875.77 is: 2,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.81 : 6,972.96 = 1,875.77 : x
  2. Step 2: Convert to fraction form
    4,649.81/6,972.96 = 1,875.77/x
  3. Step 3: Cross multiply
    4,649.81x = 6,972.96 × 1,875.77
  4. Step 4: Simplify right side
    4,649.81x = 13,079,669.18
  5. Step 5: Solve for x
    x = 13,079,669.18/4,649.81
  6. Step 6: Final answer
    x = 2,812.95

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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.