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Finding the Fourth Proportional to 3,686.01, 5,522.30 and 3,138.81

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Solution

The fourth proportional to 3,686.01, 5,522.30 and 3,138.81 is: 4,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.01 : 5,522.30 = 3,138.81 : x
  2. Step 2: Convert to fraction form
    3,686.01/5,522.30 = 3,138.81/x
  3. Step 3: Cross multiply
    3,686.01x = 5,522.30 × 3,138.81
  4. Step 4: Simplify right side
    3,686.01x = 17,333,434.77
  5. Step 5: Solve for x
    x = 17,333,434.77/3,686.01
  6. Step 6: Final answer
    x = 4,702.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.