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Finding the Fourth Proportional to 4,152.62, 5,730.54 and 2,264.22

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Solution

The fourth proportional to 4,152.62, 5,730.54 and 2,264.22 is: 3,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.62 : 5,730.54 = 2,264.22 : x
  2. Step 2: Convert to fraction form
    4,152.62/5,730.54 = 2,264.22/x
  3. Step 3: Cross multiply
    4,152.62x = 5,730.54 × 2,264.22
  4. Step 4: Simplify right side
    4,152.62x = 12,975,194.61
  5. Step 5: Solve for x
    x = 12,975,194.61/4,152.62
  6. Step 6: Final answer
    x = 3,124.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.