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Finding the Fourth Proportional to 5,726.74, 7,902.36 and 3,242.74

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Solution

The fourth proportional to 5,726.74, 7,902.36 and 3,242.74 is: 4,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.74 : 7,902.36 = 3,242.74 : x
  2. Step 2: Convert to fraction form
    5,726.74/7,902.36 = 3,242.74/x
  3. Step 3: Cross multiply
    5,726.74x = 7,902.36 × 3,242.74
  4. Step 4: Simplify right side
    5,726.74x = 25,625,298.87
  5. Step 5: Solve for x
    x = 25,625,298.87/5,726.74
  6. Step 6: Final answer
    x = 4,474.67

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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.