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Finding the Fourth Proportional to 3,294.87, 4,967.21 and 3,116.26

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Solution

The fourth proportional to 3,294.87, 4,967.21 and 3,116.26 is: 4,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.87 : 4,967.21 = 3,116.26 : x
  2. Step 2: Convert to fraction form
    3,294.87/4,967.21 = 3,116.26/x
  3. Step 3: Cross multiply
    3,294.87x = 4,967.21 × 3,116.26
  4. Step 4: Simplify right side
    3,294.87x = 15,479,117.83
  5. Step 5: Solve for x
    x = 15,479,117.83/3,294.87
  6. Step 6: Final answer
    x = 4,697.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.