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Finding the Fourth Proportional to 5,317.38, 7,966.86 and 4,854.42

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Solution

The fourth proportional to 5,317.38, 7,966.86 and 4,854.42 is: 7,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.38 : 7,966.86 = 4,854.42 : x
  2. Step 2: Convert to fraction form
    5,317.38/7,966.86 = 4,854.42/x
  3. Step 3: Cross multiply
    5,317.38x = 7,966.86 × 4,854.42
  4. Step 4: Simplify right side
    5,317.38x = 38,674,484.52
  5. Step 5: Solve for x
    x = 38,674,484.52/5,317.38
  6. Step 6: Final answer
    x = 7,273.22

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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.