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Finding the Fourth Proportional to 3,700.67, 5,107.86 and 2,376.68

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Solution

The fourth proportional to 3,700.67, 5,107.86 and 2,376.68 is: 3,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.67 : 5,107.86 = 2,376.68 : x
  2. Step 2: Convert to fraction form
    3,700.67/5,107.86 = 2,376.68/x
  3. Step 3: Cross multiply
    3,700.67x = 5,107.86 × 2,376.68
  4. Step 4: Simplify right side
    3,700.67x = 12,139,755.53
  5. Step 5: Solve for x
    x = 12,139,755.53/3,700.67
  6. Step 6: Final answer
    x = 3,280.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.