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Finding the Fourth Proportional to 4,339.53, 6,508.69 and 1,417.86

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Solution

The fourth proportional to 4,339.53, 6,508.69 and 1,417.86 is: 2,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.53 : 6,508.69 = 1,417.86 : x
  2. Step 2: Convert to fraction form
    4,339.53/6,508.69 = 1,417.86/x
  3. Step 3: Cross multiply
    4,339.53x = 6,508.69 × 1,417.86
  4. Step 4: Simplify right side
    4,339.53x = 9,228,407.66
  5. Step 5: Solve for x
    x = 9,228,407.66/4,339.53
  6. Step 6: Final answer
    x = 2,126.59

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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.