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Finding the Fourth Proportional to 4,517.28, 6,774.08 and 1,742.40

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Solution

The fourth proportional to 4,517.28, 6,774.08 and 1,742.40 is: 2,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.28 : 6,774.08 = 1,742.40 : x
  2. Step 2: Convert to fraction form
    4,517.28/6,774.08 = 1,742.40/x
  3. Step 3: Cross multiply
    4,517.28x = 6,774.08 × 1,742.40
  4. Step 4: Simplify right side
    4,517.28x = 11,803,148.28
  5. Step 5: Solve for x
    x = 11,803,148.28/4,517.28
  6. Step 6: Final answer
    x = 2,612.89

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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.