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Finding the Fourth Proportional to 5,788.44, 7,987.58 and 3,398.16

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Solution

The fourth proportional to 5,788.44, 7,987.58 and 3,398.16 is: 4,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.44 : 7,987.58 = 3,398.16 : x
  2. Step 2: Convert to fraction form
    5,788.44/7,987.58 = 3,398.16/x
  3. Step 3: Cross multiply
    5,788.44x = 7,987.58 × 3,398.16
  4. Step 4: Simplify right side
    5,788.44x = 27,143,057.86
  5. Step 5: Solve for x
    x = 27,143,057.86/5,788.44
  6. Step 6: Final answer
    x = 4,689.18

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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.