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Finding the Fourth Proportional to 3,497.99, 5,248.40 and 1,307.34

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Solution

The fourth proportional to 3,497.99, 5,248.40 and 1,307.34 is: 1,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.99 : 5,248.40 = 1,307.34 : x
  2. Step 2: Convert to fraction form
    3,497.99/5,248.40 = 1,307.34/x
  3. Step 3: Cross multiply
    3,497.99x = 5,248.40 × 1,307.34
  4. Step 4: Simplify right side
    3,497.99x = 6,861,436.72
  5. Step 5: Solve for x
    x = 6,861,436.72/3,497.99
  6. Step 6: Final answer
    x = 1,961.54

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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.