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Finding the Fourth Proportional to 3,626.72, 5,445.16 and 2,402

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Solution

The fourth proportional to 3,626.72, 5,445.16 and 2,402 is: 3,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.72 : 5,445.16 = 2,402 : x
  2. Step 2: Convert to fraction form
    3,626.72/5,445.16 = 2,402/x
  3. Step 3: Cross multiply
    3,626.72x = 5,445.16 × 2,402
  4. Step 4: Simplify right side
    3,626.72x = 13,079,274.32
  5. Step 5: Solve for x
    x = 13,079,274.32/3,626.72
  6. Step 6: Final answer
    x = 3,606.36

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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.