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Finding the Fourth Proportional to 4,322.67, 5,965.16 and 3,148.71

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Solution

The fourth proportional to 4,322.67, 5,965.16 and 3,148.71 is: 4,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.67 : 5,965.16 = 3,148.71 : x
  2. Step 2: Convert to fraction form
    4,322.67/5,965.16 = 3,148.71/x
  3. Step 3: Cross multiply
    4,322.67x = 5,965.16 × 3,148.71
  4. Step 4: Simplify right side
    4,322.67x = 18,782,543.20
  5. Step 5: Solve for x
    x = 18,782,543.20/4,322.67
  6. Step 6: Final answer
    x = 4,345.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.