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Finding the Fourth Proportional to 4,404.30, 6,569.34 and 4,098.12

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Solution

The fourth proportional to 4,404.30, 6,569.34 and 4,098.12 is: 6,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404.30 : 6,569.34 = 4,098.12 : x
  2. Step 2: Convert to fraction form
    4,404.30/6,569.34 = 4,098.12/x
  3. Step 3: Cross multiply
    4,404.30x = 6,569.34 × 4,098.12
  4. Step 4: Simplify right side
    4,404.30x = 26,921,943.64
  5. Step 5: Solve for x
    x = 26,921,943.64/4,404.30
  6. Step 6: Final answer
    x = 6,112.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.