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Finding the Fourth Proportional to 3,730, 5,146.14 and 2,157.52

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Solution

The fourth proportional to 3,730, 5,146.14 and 2,157.52 is: 2,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730 : 5,146.14 = 2,157.52 : x
  2. Step 2: Convert to fraction form
    3,730/5,146.14 = 2,157.52/x
  3. Step 3: Cross multiply
    3,730x = 5,146.14 × 2,157.52
  4. Step 4: Simplify right side
    3,730x = 11,102,899.97
  5. Step 5: Solve for x
    x = 11,102,899.97/3,730
  6. Step 6: Final answer
    x = 2,976.65

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