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Finding the Fourth Proportional to 4,691.34, 6,471.23 and 3,098.01

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Solution

The fourth proportional to 4,691.34, 6,471.23 and 3,098.01 is: 4,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.34 : 6,471.23 = 3,098.01 : x
  2. Step 2: Convert to fraction form
    4,691.34/6,471.23 = 3,098.01/x
  3. Step 3: Cross multiply
    4,691.34x = 6,471.23 × 3,098.01
  4. Step 4: Simplify right side
    4,691.34x = 20,047,935.25
  5. Step 5: Solve for x
    x = 20,047,935.25/4,691.34
  6. Step 6: Final answer
    x = 4,273.39

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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.