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Finding the Fourth Proportional to 3,735, 5,591.16 and 2,492.46

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Solution

The fourth proportional to 3,735, 5,591.16 and 2,492.46 is: 3,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735 : 5,591.16 = 2,492.46 : x
  2. Step 2: Convert to fraction form
    3,735/5,591.16 = 2,492.46/x
  3. Step 3: Cross multiply
    3,735x = 5,591.16 × 2,492.46
  4. Step 4: Simplify right side
    3,735x = 13,935,742.65
  5. Step 5: Solve for x
    x = 13,935,742.65/3,735
  6. Step 6: Final answer
    x = 3,731.12

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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.