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Finding the Fourth Proportional to 5,595.96, 7,712.91 and 3,824.49

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Solution

The fourth proportional to 5,595.96, 7,712.91 and 3,824.49 is: 5,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.96 : 7,712.91 = 3,824.49 : x
  2. Step 2: Convert to fraction form
    5,595.96/7,712.91 = 3,824.49/x
  3. Step 3: Cross multiply
    5,595.96x = 7,712.91 × 3,824.49
  4. Step 4: Simplify right side
    5,595.96x = 29,497,947.17
  5. Step 5: Solve for x
    x = 29,497,947.17/5,595.96
  6. Step 6: Final answer
    x = 5,271.29

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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.