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Finding the Fourth Proportional to 3,499.00, 5,248.31 and 1,307.56

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Solution

The fourth proportional to 3,499.00, 5,248.31 and 1,307.56 is: 1,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.00 : 5,248.31 = 1,307.56 : x
  2. Step 2: Convert to fraction form
    3,499.00/5,248.31 = 1,307.56/x
  3. Step 3: Cross multiply
    3,499.00x = 5,248.31 × 1,307.56
  4. Step 4: Simplify right side
    3,499.00x = 6,862,477.76
  5. Step 5: Solve for x
    x = 6,862,477.76/3,499.00
  6. Step 6: Final answer
    x = 1,961.27

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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.