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Finding the Fourth Proportional to 3,416.72, 5,113.20 and 2,952.32

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Solution

The fourth proportional to 3,416.72, 5,113.20 and 2,952.32 is: 4,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.72 : 5,113.20 = 2,952.32 : x
  2. Step 2: Convert to fraction form
    3,416.72/5,113.20 = 2,952.32/x
  3. Step 3: Cross multiply
    3,416.72x = 5,113.20 × 2,952.32
  4. Step 4: Simplify right side
    3,416.72x = 15,095,802.62
  5. Step 5: Solve for x
    x = 15,095,802.62/3,416.72
  6. Step 6: Final answer
    x = 4,418.21

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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.