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Finding the Fourth Proportional to 3,499.52, 5,248.32 and 1,307.52

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Solution

The fourth proportional to 3,499.52, 5,248.32 and 1,307.52 is: 1,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.52 : 5,248.32 = 1,307.52 : x
  2. Step 2: Convert to fraction form
    3,499.52/5,248.32 = 1,307.52/x
  3. Step 3: Cross multiply
    3,499.52x = 5,248.32 × 1,307.52
  4. Step 4: Simplify right side
    3,499.52x = 6,862,283.37
  5. Step 5: Solve for x
    x = 6,862,283.37/3,499.52
  6. Step 6: Final answer
    x = 1,960.92

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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.