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Finding the Fourth Proportional to 3,866.02, 5,794.54 and 1,781.65

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Solution

The fourth proportional to 3,866.02, 5,794.54 and 1,781.65 is: 2,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.02 : 5,794.54 = 1,781.65 : x
  2. Step 2: Convert to fraction form
    3,866.02/5,794.54 = 1,781.65/x
  3. Step 3: Cross multiply
    3,866.02x = 5,794.54 × 1,781.65
  4. Step 4: Simplify right side
    3,866.02x = 10,323,842.19
  5. Step 5: Solve for x
    x = 10,323,842.19/3,866.02
  6. Step 6: Final answer
    x = 2,670.41

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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.