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Finding the Fourth Proportional to 5,626.88, 8,444.76 and 3,161.24

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Solution

The fourth proportional to 5,626.88, 8,444.76 and 3,161.24 is: 4,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.88 : 8,444.76 = 3,161.24 : x
  2. Step 2: Convert to fraction form
    5,626.88/8,444.76 = 3,161.24/x
  3. Step 3: Cross multiply
    5,626.88x = 8,444.76 × 3,161.24
  4. Step 4: Simplify right side
    5,626.88x = 26,695,913.10
  5. Step 5: Solve for x
    x = 26,695,913.10/5,626.88
  6. Step 6: Final answer
    x = 4,744.35

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1.5x scale

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.