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Finding the Fourth Proportional to 3,691.68, 5,094.54 and 2,098.14

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Solution

The fourth proportional to 3,691.68, 5,094.54 and 2,098.14 is: 2,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.68 : 5,094.54 = 2,098.14 : x
  2. Step 2: Convert to fraction form
    3,691.68/5,094.54 = 2,098.14/x
  3. Step 3: Cross multiply
    3,691.68x = 5,094.54 × 2,098.14
  4. Step 4: Simplify right side
    3,691.68x = 10,689,058.16
  5. Step 5: Solve for x
    x = 10,689,058.16/3,691.68
  6. Step 6: Final answer
    x = 2,895.45

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1.5x scale

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.