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Finding the Fourth Proportional to 4,152.54, 5,730.63 and 2,264.18

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Solution

The fourth proportional to 4,152.54, 5,730.63 and 2,264.18 is: 3,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.54 : 5,730.63 = 2,264.18 : x
  2. Step 2: Convert to fraction form
    4,152.54/5,730.63 = 2,264.18/x
  3. Step 3: Cross multiply
    4,152.54x = 5,730.63 × 2,264.18
  4. Step 4: Simplify right side
    4,152.54x = 12,975,177.83
  5. Step 5: Solve for x
    x = 12,975,177.83/4,152.54
  6. Step 6: Final answer
    x = 3,124.64

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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.