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Finding the Fourth Proportional to 3,590.25, 5,387.19 and 1,642.92

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Solution

The fourth proportional to 3,590.25, 5,387.19 and 1,642.92 is: 2,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.25 : 5,387.19 = 1,642.92 : x
  2. Step 2: Convert to fraction form
    3,590.25/5,387.19 = 1,642.92/x
  3. Step 3: Cross multiply
    3,590.25x = 5,387.19 × 1,642.92
  4. Step 4: Simplify right side
    3,590.25x = 8,850,722.19
  5. Step 5: Solve for x
    x = 8,850,722.19/3,590.25
  6. Step 6: Final answer
    x = 2,465.21

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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.