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Finding the Fourth Proportional to 6,290.52, 9,438.32 and 2,594.60

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Solution

The fourth proportional to 6,290.52, 9,438.32 and 2,594.60 is: 3,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.52 : 9,438.32 = 2,594.60 : x
  2. Step 2: Convert to fraction form
    6,290.52/9,438.32 = 2,594.60/x
  3. Step 3: Cross multiply
    6,290.52x = 9,438.32 × 2,594.60
  4. Step 4: Simplify right side
    6,290.52x = 24,488,665.07
  5. Step 5: Solve for x
    x = 24,488,665.07/6,290.52
  6. Step 6: Final answer
    x = 3,892.95

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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.