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Finding the Fourth Proportional to 6,565.24, 9,059.74 and 3,581

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Solution

The fourth proportional to 6,565.24, 9,059.74 and 3,581 is: 4,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.24 : 9,059.74 = 3,581 : x
  2. Step 2: Convert to fraction form
    6,565.24/9,059.74 = 3,581/x
  3. Step 3: Cross multiply
    6,565.24x = 9,059.74 × 3,581
  4. Step 4: Simplify right side
    6,565.24x = 32,442,928.94
  5. Step 5: Solve for x
    x = 32,442,928.94/6,565.24
  6. Step 6: Final answer
    x = 4,941.62

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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.