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Finding the Fourth Proportional to 3,859.60, 5,789.40 and 2,477.20

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Solution

The fourth proportional to 3,859.60, 5,789.40 and 2,477.20 is: 3,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.60 : 5,789.40 = 2,477.20 : x
  2. Step 2: Convert to fraction form
    3,859.60/5,789.40 = 2,477.20/x
  3. Step 3: Cross multiply
    3,859.60x = 5,789.40 × 2,477.20
  4. Step 4: Simplify right side
    3,859.60x = 14,341,501.68
  5. Step 5: Solve for x
    x = 14,341,501.68/3,859.60
  6. Step 6: Final answer
    x = 3,715.80

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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.