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Finding the Fourth Proportional to 3,940.34, 5,909.02 and 1,307.06

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Solution

The fourth proportional to 3,940.34, 5,909.02 and 1,307.06 is: 1,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.34 : 5,909.02 = 1,307.06 : x
  2. Step 2: Convert to fraction form
    3,940.34/5,909.02 = 1,307.06/x
  3. Step 3: Cross multiply
    3,940.34x = 5,909.02 × 1,307.06
  4. Step 4: Simplify right side
    3,940.34x = 7,723,443.68
  5. Step 5: Solve for x
    x = 7,723,443.68/3,940.34
  6. Step 6: Final answer
    x = 1,960.10

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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.