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Finding the Fourth Proportional to 4,620.47, 6,931.31 and 1,847.07

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Solution

The fourth proportional to 4,620.47, 6,931.31 and 1,847.07 is: 2,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.47 : 6,931.31 = 1,847.07 : x
  2. Step 2: Convert to fraction form
    4,620.47/6,931.31 = 1,847.07/x
  3. Step 3: Cross multiply
    4,620.47x = 6,931.31 × 1,847.07
  4. Step 4: Simplify right side
    4,620.47x = 12,802,605.53
  5. Step 5: Solve for x
    x = 12,802,605.53/4,620.47
  6. Step 6: Final answer
    x = 2,770.85

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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.