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Finding the Fourth Proportional to 4,347.40, 6,508.92 and 2,262.86

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Solution

The fourth proportional to 4,347.40, 6,508.92 and 2,262.86 is: 3,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.40 : 6,508.92 = 2,262.86 : x
  2. Step 2: Convert to fraction form
    4,347.40/6,508.92 = 2,262.86/x
  3. Step 3: Cross multiply
    4,347.40x = 6,508.92 × 2,262.86
  4. Step 4: Simplify right side
    4,347.40x = 14,728,774.71
  5. Step 5: Solve for x
    x = 14,728,774.71/4,347.40
  6. Step 6: Final answer
    x = 3,387.95

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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.