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Finding the Fourth Proportional to 4,511.57, 6,764.92 and 1,390.64

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Solution

The fourth proportional to 4,511.57, 6,764.92 and 1,390.64 is: 2,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.57 : 6,764.92 = 1,390.64 : x
  2. Step 2: Convert to fraction form
    4,511.57/6,764.92 = 1,390.64/x
  3. Step 3: Cross multiply
    4,511.57x = 6,764.92 × 1,390.64
  4. Step 4: Simplify right side
    4,511.57x = 9,407,531.05
  5. Step 5: Solve for x
    x = 9,407,531.05/4,511.57
  6. Step 6: Final answer
    x = 2,085.20

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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.