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Finding the Fourth Proportional to 4,352.64, 6,008.16 and 2,585.76

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Solution

The fourth proportional to 4,352.64, 6,008.16 and 2,585.76 is: 3,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.64 : 6,008.16 = 2,585.76 : x
  2. Step 2: Convert to fraction form
    4,352.64/6,008.16 = 2,585.76/x
  3. Step 3: Cross multiply
    4,352.64x = 6,008.16 × 2,585.76
  4. Step 4: Simplify right side
    4,352.64x = 15,535,659.80
  5. Step 5: Solve for x
    x = 15,535,659.80/4,352.64
  6. Step 6: Final answer
    x = 3,569.25

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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.