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Finding the Fourth Proportional to 5,307.64, 7,324.50 and 2,949.76

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Solution

The fourth proportional to 5,307.64, 7,324.50 and 2,949.76 is: 4,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.64 : 7,324.50 = 2,949.76 : x
  2. Step 2: Convert to fraction form
    5,307.64/7,324.50 = 2,949.76/x
  3. Step 3: Cross multiply
    5,307.64x = 7,324.50 × 2,949.76
  4. Step 4: Simplify right side
    5,307.64x = 21,605,517.12
  5. Step 5: Solve for x
    x = 21,605,517.12/5,307.64
  6. Step 6: Final answer
    x = 4,070.64

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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.