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Finding the Fourth Proportional to 5,352.32, 7,385.76 and 3,114.80

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Solution

The fourth proportional to 5,352.32, 7,385.76 and 3,114.80 is: 4,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.32 : 7,385.76 = 3,114.80 : x
  2. Step 2: Convert to fraction form
    5,352.32/7,385.76 = 3,114.80/x
  3. Step 3: Cross multiply
    5,352.32x = 7,385.76 × 3,114.80
  4. Step 4: Simplify right side
    5,352.32x = 23,005,165.25
  5. Step 5: Solve for x
    x = 23,005,165.25/5,352.32
  6. Step 6: Final answer
    x = 4,298.17

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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.