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Finding the Fourth Proportional to 5,731.20, 8,590.32 and 3,643.20

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Solution

The fourth proportional to 5,731.20, 8,590.32 and 3,643.20 is: 5,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.20 : 8,590.32 = 3,643.20 : x
  2. Step 2: Convert to fraction form
    5,731.20/8,590.32 = 3,643.20/x
  3. Step 3: Cross multiply
    5,731.20x = 8,590.32 × 3,643.20
  4. Step 4: Simplify right side
    5,731.20x = 31,296,253.82
  5. Step 5: Solve for x
    x = 31,296,253.82/5,731.20
  6. Step 6: Final answer
    x = 5,460.68

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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.