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Finding the Fourth Proportional to 5,689.32, 8,530.89 and 2,565.67

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Solution

The fourth proportional to 5,689.32, 8,530.89 and 2,565.67 is: 3,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.32 : 8,530.89 = 2,565.67 : x
  2. Step 2: Convert to fraction form
    5,689.32/8,530.89 = 2,565.67/x
  3. Step 3: Cross multiply
    5,689.32x = 8,530.89 × 2,565.67
  4. Step 4: Simplify right side
    5,689.32x = 21,887,417.60
  5. Step 5: Solve for x
    x = 21,887,417.60/5,689.32
  6. Step 6: Final answer
    x = 3,847.11

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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.