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Finding the Fourth Proportional to 3,702.48, 5,522.32 and 3,121.32

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Solution

The fourth proportional to 3,702.48, 5,522.32 and 3,121.32 is: 4,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.48 : 5,522.32 = 3,121.32 : x
  2. Step 2: Convert to fraction form
    3,702.48/5,522.32 = 3,121.32/x
  3. Step 3: Cross multiply
    3,702.48x = 5,522.32 × 3,121.32
  4. Step 4: Simplify right side
    3,702.48x = 17,236,927.86
  5. Step 5: Solve for x
    x = 17,236,927.86/3,702.48
  6. Step 6: Final answer
    x = 4,655.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.