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Finding the Fourth Proportional to 4,459.56, 6,689.34 and 1,339.90

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Solution

The fourth proportional to 4,459.56, 6,689.34 and 1,339.90 is: 2,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.56 : 6,689.34 = 1,339.90 : x
  2. Step 2: Convert to fraction form
    4,459.56/6,689.34 = 1,339.90/x
  3. Step 3: Cross multiply
    4,459.56x = 6,689.34 × 1,339.90
  4. Step 4: Simplify right side
    4,459.56x = 8,963,046.67
  5. Step 5: Solve for x
    x = 8,963,046.67/4,459.56
  6. Step 6: Final answer
    x = 2,009.85

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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.