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Finding the Fourth Proportional to 3,702.64, 5,106.36 and 2,652.88

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Solution

The fourth proportional to 3,702.64, 5,106.36 and 2,652.88 is: 3,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.64 : 5,106.36 = 2,652.88 : x
  2. Step 2: Convert to fraction form
    3,702.64/5,106.36 = 2,652.88/x
  3. Step 3: Cross multiply
    3,702.64x = 5,106.36 × 2,652.88
  4. Step 4: Simplify right side
    3,702.64x = 13,546,560.32
  5. Step 5: Solve for x
    x = 13,546,560.32/3,702.64
  6. Step 6: Final answer
    x = 3,658.62

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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.