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Finding the Fourth Proportional to 3,499.64, 5,248.86 and 1,307.78

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Solution

The fourth proportional to 3,499.64, 5,248.86 and 1,307.78 is: 1,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.64 : 5,248.86 = 1,307.78 : x
  2. Step 2: Convert to fraction form
    3,499.64/5,248.86 = 1,307.78/x
  3. Step 3: Cross multiply
    3,499.64x = 5,248.86 × 1,307.78
  4. Step 4: Simplify right side
    3,499.64x = 6,864,354.13
  5. Step 5: Solve for x
    x = 6,864,354.13/3,499.64
  6. Step 6: Final answer
    x = 1,961.45

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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.