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Finding the Fourth Proportional to 3,775.41, 5,659.88 and 1,465.65

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Solution

The fourth proportional to 3,775.41, 5,659.88 and 1,465.65 is: 2,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.41 : 5,659.88 = 1,465.65 : x
  2. Step 2: Convert to fraction form
    3,775.41/5,659.88 = 1,465.65/x
  3. Step 3: Cross multiply
    3,775.41x = 5,659.88 × 1,465.65
  4. Step 4: Simplify right side
    3,775.41x = 8,295,395.79
  5. Step 5: Solve for x
    x = 8,295,395.79/3,775.41
  6. Step 6: Final answer
    x = 2,197.22

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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.