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Finding the Fourth Proportional to 5,787.96, 7,987.32 and 3,430.14

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Solution

The fourth proportional to 5,787.96, 7,987.32 and 3,430.14 is: 4,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.96 : 7,987.32 = 3,430.14 : x
  2. Step 2: Convert to fraction form
    5,787.96/7,987.32 = 3,430.14/x
  3. Step 3: Cross multiply
    5,787.96x = 7,987.32 × 3,430.14
  4. Step 4: Simplify right side
    5,787.96x = 27,397,625.82
  5. Step 5: Solve for x
    x = 27,397,625.82/5,787.96
  6. Step 6: Final answer
    x = 4,733.55

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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.