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Finding the Fourth Proportional to 4,155.36, 5,742 and 3,952.88

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Solution

The fourth proportional to 4,155.36, 5,742 and 3,952.88 is: 5,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.36 : 5,742 = 3,952.88 : x
  2. Step 2: Convert to fraction form
    4,155.36/5,742 = 3,952.88/x
  3. Step 3: Cross multiply
    4,155.36x = 5,742 × 3,952.88
  4. Step 4: Simplify right side
    4,155.36x = 22,697,436.96
  5. Step 5: Solve for x
    x = 22,697,436.96/4,155.36
  6. Step 6: Final answer
    x = 5,462.21

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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.