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Finding the Fourth Proportional to 3,499.56, 5,246.51 and 1,307.97

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Solution

The fourth proportional to 3,499.56, 5,246.51 and 1,307.97 is: 1,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.56 : 5,246.51 = 1,307.97 : x
  2. Step 2: Convert to fraction form
    3,499.56/5,246.51 = 1,307.97/x
  3. Step 3: Cross multiply
    3,499.56x = 5,246.51 × 1,307.97
  4. Step 4: Simplify right side
    3,499.56x = 6,862,271.14
  5. Step 5: Solve for x
    x = 6,862,271.14/3,499.56
  6. Step 6: Final answer
    x = 1,960.90

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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.