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Finding the Fourth Proportional to 4,152.52, 5,730.18 and 2,384.08

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Solution

The fourth proportional to 4,152.52, 5,730.18 and 2,384.08 is: 3,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.52 : 5,730.18 = 2,384.08 : x
  2. Step 2: Convert to fraction form
    4,152.52/5,730.18 = 2,384.08/x
  3. Step 3: Cross multiply
    4,152.52x = 5,730.18 × 2,384.08
  4. Step 4: Simplify right side
    4,152.52x = 13,661,207.53
  5. Step 5: Solve for x
    x = 13,661,207.53/4,152.52
  6. Step 6: Final answer
    x = 3,289.86

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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.