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Finding the Fourth Proportional to 5,595.76, 7,722.40 and 3,205.84

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Solution

The fourth proportional to 5,595.76, 7,722.40 and 3,205.84 is: 4,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.76 : 7,722.40 = 3,205.84 : x
  2. Step 2: Convert to fraction form
    5,595.76/7,722.40 = 3,205.84/x
  3. Step 3: Cross multiply
    5,595.76x = 7,722.40 × 3,205.84
  4. Step 4: Simplify right side
    5,595.76x = 24,756,778.82
  5. Step 5: Solve for x
    x = 24,756,778.82/5,595.76
  6. Step 6: Final answer
    x = 4,424.20

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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.