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Finding the Fourth Proportional to 3,866.60, 5,799.85 and 944.93

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Solution

The fourth proportional to 3,866.60, 5,799.85 and 944.93 is: 1,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.60 : 5,799.85 = 944.93 : x
  2. Step 2: Convert to fraction form
    3,866.60/5,799.85 = 944.93/x
  3. Step 3: Cross multiply
    3,866.60x = 5,799.85 × 944.93
  4. Step 4: Simplify right side
    3,866.60x = 5,480,469.71
  5. Step 5: Solve for x
    x = 5,480,469.71/3,866.60
  6. Step 6: Final answer
    x = 1,417.39

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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.