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Finding the Fourth Proportional to 4,132.38, 5,702.78 and 2,364.16

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Solution

The fourth proportional to 4,132.38, 5,702.78 and 2,364.16 is: 3,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.38 : 5,702.78 = 2,364.16 : x
  2. Step 2: Convert to fraction form
    4,132.38/5,702.78 = 2,364.16/x
  3. Step 3: Cross multiply
    4,132.38x = 5,702.78 × 2,364.16
  4. Step 4: Simplify right side
    4,132.38x = 13,482,284.36
  5. Step 5: Solve for x
    x = 13,482,284.36/4,132.38
  6. Step 6: Final answer
    x = 3,262.60

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Why These Related Problems?

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