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Finding the Fourth Proportional to 3,691.72, 5,094.38 and 2,098.16

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Solution

The fourth proportional to 3,691.72, 5,094.38 and 2,098.16 is: 2,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.72 : 5,094.38 = 2,098.16 : x
  2. Step 2: Convert to fraction form
    3,691.72/5,094.38 = 2,098.16/x
  3. Step 3: Cross multiply
    3,691.72x = 5,094.38 × 2,098.16
  4. Step 4: Simplify right side
    3,691.72x = 10,688,824.34
  5. Step 5: Solve for x
    x = 10,688,824.34/3,691.72
  6. Step 6: Final answer
    x = 2,895.35

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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.