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Finding the Fourth Proportional to 5,097.25, 7,645.97 and 1,587.39

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Solution

The fourth proportional to 5,097.25, 7,645.97 and 1,587.39 is: 2,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.25 : 7,645.97 = 1,587.39 : x
  2. Step 2: Convert to fraction form
    5,097.25/7,645.97 = 1,587.39/x
  3. Step 3: Cross multiply
    5,097.25x = 7,645.97 × 1,587.39
  4. Step 4: Simplify right side
    5,097.25x = 12,137,136.32
  5. Step 5: Solve for x
    x = 12,137,136.32/5,097.25
  6. Step 6: Final answer
    x = 2,381.11

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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.