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Finding the Fourth Proportional to 4,324.95, 6,488.10 and 1,402.29

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Solution

The fourth proportional to 4,324.95, 6,488.10 and 1,402.29 is: 2,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.95 : 6,488.10 = 1,402.29 : x
  2. Step 2: Convert to fraction form
    4,324.95/6,488.10 = 1,402.29/x
  3. Step 3: Cross multiply
    4,324.95x = 6,488.10 × 1,402.29
  4. Step 4: Simplify right side
    4,324.95x = 9,098,197.75
  5. Step 5: Solve for x
    x = 9,098,197.75/4,324.95
  6. Step 6: Final answer
    x = 2,103.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.