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Finding the Fourth Proportional to 5,788.16, 7,986.78 and 3,397.22

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Solution

The fourth proportional to 5,788.16, 7,986.78 and 3,397.22 is: 4,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.16 : 7,986.78 = 3,397.22 : x
  2. Step 2: Convert to fraction form
    5,788.16/7,986.78 = 3,397.22/x
  3. Step 3: Cross multiply
    5,788.16x = 7,986.78 × 3,397.22
  4. Step 4: Simplify right side
    5,788.16x = 27,132,808.82
  5. Step 5: Solve for x
    x = 27,132,808.82/5,788.16
  6. Step 6: Final answer
    x = 4,687.64

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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.