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Finding the Fourth Proportional to 5,624.74, 7,759.38 and 3,637

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Solution

The fourth proportional to 5,624.74, 7,759.38 and 3,637 is: 5,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.74 : 7,759.38 = 3,637 : x
  2. Step 2: Convert to fraction form
    5,624.74/7,759.38 = 3,637/x
  3. Step 3: Cross multiply
    5,624.74x = 7,759.38 × 3,637
  4. Step 4: Simplify right side
    5,624.74x = 28,220,865.06
  5. Step 5: Solve for x
    x = 28,220,865.06/5,624.74
  6. Step 6: Final answer
    x = 5,017.27

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1.5x scale

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.