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Finding the Fourth Proportional to 6,585.80, 9,086.64 and 4,034.91

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Solution

The fourth proportional to 6,585.80, 9,086.64 and 4,034.91 is: 5,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.80 : 9,086.64 = 4,034.91 : x
  2. Step 2: Convert to fraction form
    6,585.80/9,086.64 = 4,034.91/x
  3. Step 3: Cross multiply
    6,585.80x = 9,086.64 × 4,034.91
  4. Step 4: Simplify right side
    6,585.80x = 36,663,774.60
  5. Step 5: Solve for x
    x = 36,663,774.60/6,585.80
  6. Step 6: Final answer
    x = 5,567.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.