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Finding the Fourth Proportional to 6,285.90, 9,425.59 and 2,587.44

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Solution

The fourth proportional to 6,285.90, 9,425.59 and 2,587.44 is: 3,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.90 : 9,425.59 = 2,587.44 : x
  2. Step 2: Convert to fraction form
    6,285.90/9,425.59 = 2,587.44/x
  3. Step 3: Cross multiply
    6,285.90x = 9,425.59 × 2,587.44
  4. Step 4: Simplify right side
    6,285.90x = 24,388,148.59
  5. Step 5: Solve for x
    x = 24,388,148.59/6,285.90
  6. Step 6: Final answer
    x = 3,879.82

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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.