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Finding the Fourth Proportional to 5,689.60, 8,534.04 and 2,569.84

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Solution

The fourth proportional to 5,689.60, 8,534.04 and 2,569.84 is: 3,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.60 : 8,534.04 = 2,569.84 : x
  2. Step 2: Convert to fraction form
    5,689.60/8,534.04 = 2,569.84/x
  3. Step 3: Cross multiply
    5,689.60x = 8,534.04 × 2,569.84
  4. Step 4: Simplify right side
    5,689.60x = 21,931,117.35
  5. Step 5: Solve for x
    x = 21,931,117.35/5,689.60
  6. Step 6: Final answer
    x = 3,854.60

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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.