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Finding the Fourth Proportional to 5,349, 7,385.40 and 4,352.76

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Solution

The fourth proportional to 5,349, 7,385.40 and 4,352.76 is: 6,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349 : 7,385.40 = 4,352.76 : x
  2. Step 2: Convert to fraction form
    5,349/7,385.40 = 4,352.76/x
  3. Step 3: Cross multiply
    5,349x = 7,385.40 × 4,352.76
  4. Step 4: Simplify right side
    5,349x = 32,146,873.70
  5. Step 5: Solve for x
    x = 32,146,873.70/5,349
  6. Step 6: Final answer
    x = 6,009.88

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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.