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Finding the Fourth Proportional to 3,766.05, 5,646.78 and 1,572.84

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Solution

The fourth proportional to 3,766.05, 5,646.78 and 1,572.84 is: 2,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.05 : 5,646.78 = 1,572.84 : x
  2. Step 2: Convert to fraction form
    3,766.05/5,646.78 = 1,572.84/x
  3. Step 3: Cross multiply
    3,766.05x = 5,646.78 × 1,572.84
  4. Step 4: Simplify right side
    3,766.05x = 8,881,481.46
  5. Step 5: Solve for x
    x = 8,881,481.46/3,766.05
  6. Step 6: Final answer
    x = 2,358.30

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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.