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Finding the Fourth Proportional to 4,354.64, 6,008.28 and 2,585.84

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Solution

The fourth proportional to 4,354.64, 6,008.28 and 2,585.84 is: 3,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.64 : 6,008.28 = 2,585.84 : x
  2. Step 2: Convert to fraction form
    4,354.64/6,008.28 = 2,585.84/x
  3. Step 3: Cross multiply
    4,354.64x = 6,008.28 × 2,585.84
  4. Step 4: Simplify right side
    4,354.64x = 15,536,450.76
  5. Step 5: Solve for x
    x = 15,536,450.76/4,354.64
  6. Step 6: Final answer
    x = 3,567.79

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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.