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Finding the Fourth Proportional to 4,496.52, 6,741.54 and 2,761.50

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Solution

The fourth proportional to 4,496.52, 6,741.54 and 2,761.50 is: 4,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.52 : 6,741.54 = 2,761.50 : x
  2. Step 2: Convert to fraction form
    4,496.52/6,741.54 = 2,761.50/x
  3. Step 3: Cross multiply
    4,496.52x = 6,741.54 × 2,761.50
  4. Step 4: Simplify right side
    4,496.52x = 18,616,762.71
  5. Step 5: Solve for x
    x = 18,616,762.71/4,496.52
  6. Step 6: Final answer
    x = 4,140.26

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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.