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Finding the Fourth Proportional to 4,339.47, 6,511.17 and 1,706.25

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Solution

The fourth proportional to 4,339.47, 6,511.17 and 1,706.25 is: 2,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.47 : 6,511.17 = 1,706.25 : x
  2. Step 2: Convert to fraction form
    4,339.47/6,511.17 = 1,706.25/x
  3. Step 3: Cross multiply
    4,339.47x = 6,511.17 × 1,706.25
  4. Step 4: Simplify right side
    4,339.47x = 11,109,683.81
  5. Step 5: Solve for x
    x = 11,109,683.81/4,339.47
  6. Step 6: Final answer
    x = 2,560.15

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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.