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Finding the Fourth Proportional to 5,061.60, 6,974.64 and 3,733.20

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Solution

The fourth proportional to 5,061.60, 6,974.64 and 3,733.20 is: 5,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.60 : 6,974.64 = 3,733.20 : x
  2. Step 2: Convert to fraction form
    5,061.60/6,974.64 = 3,733.20/x
  3. Step 3: Cross multiply
    5,061.60x = 6,974.64 × 3,733.20
  4. Step 4: Simplify right side
    5,061.60x = 26,037,726.05
  5. Step 5: Solve for x
    x = 26,037,726.05/5,061.60
  6. Step 6: Final answer
    x = 5,144.17

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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.