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Finding the Fourth Proportional to 3,264.26, 4,902.38 and 3,132.16

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Solution

The fourth proportional to 3,264.26, 4,902.38 and 3,132.16 is: 4,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.26 : 4,902.38 = 3,132.16 : x
  2. Step 2: Convert to fraction form
    3,264.26/4,902.38 = 3,132.16/x
  3. Step 3: Cross multiply
    3,264.26x = 4,902.38 × 3,132.16
  4. Step 4: Simplify right side
    3,264.26x = 15,355,038.54
  5. Step 5: Solve for x
    x = 15,355,038.54/3,264.26
  6. Step 6: Final answer
    x = 4,703.99

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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.