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Finding the Fourth Proportional to 4,329.92, 6,495.14 and 1,408.52

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Solution

The fourth proportional to 4,329.92, 6,495.14 and 1,408.52 is: 2,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.92 : 6,495.14 = 1,408.52 : x
  2. Step 2: Convert to fraction form
    4,329.92/6,495.14 = 1,408.52/x
  3. Step 3: Cross multiply
    4,329.92x = 6,495.14 × 1,408.52
  4. Step 4: Simplify right side
    4,329.92x = 9,148,534.59
  5. Step 5: Solve for x
    x = 9,148,534.59/4,329.92
  6. Step 6: Final answer
    x = 2,112.86

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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.