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Finding the Fourth Proportional to 3,765.70, 5,195.13 and 2,715.46

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Solution

The fourth proportional to 3,765.70, 5,195.13 and 2,715.46 is: 3,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.70 : 5,195.13 = 2,715.46 : x
  2. Step 2: Convert to fraction form
    3,765.70/5,195.13 = 2,715.46/x
  3. Step 3: Cross multiply
    3,765.70x = 5,195.13 × 2,715.46
  4. Step 4: Simplify right side
    3,765.70x = 14,107,167.71
  5. Step 5: Solve for x
    x = 14,107,167.71/3,765.70
  6. Step 6: Final answer
    x = 3,746.23

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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.