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Finding the Fourth Proportional to 3,427.66, 5,140.77 and 962.74

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Solution

The fourth proportional to 3,427.66, 5,140.77 and 962.74 is: 1,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.66 : 5,140.77 = 962.74 : x
  2. Step 2: Convert to fraction form
    3,427.66/5,140.77 = 962.74/x
  3. Step 3: Cross multiply
    3,427.66x = 5,140.77 × 962.74
  4. Step 4: Simplify right side
    3,427.66x = 4,949,224.91
  5. Step 5: Solve for x
    x = 4,949,224.91/3,427.66
  6. Step 6: Final answer
    x = 1,443.91

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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.