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Finding the Fourth Proportional to 5,291.97, 7,937.94 and 1,594.47

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Solution

The fourth proportional to 5,291.97, 7,937.94 and 1,594.47 is: 2,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.97 : 7,937.94 = 1,594.47 : x
  2. Step 2: Convert to fraction form
    5,291.97/7,937.94 = 1,594.47/x
  3. Step 3: Cross multiply
    5,291.97x = 7,937.94 × 1,594.47
  4. Step 4: Simplify right side
    5,291.97x = 12,656,807.19
  5. Step 5: Solve for x
    x = 12,656,807.19/5,291.97
  6. Step 6: Final answer
    x = 2,391.70

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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.