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Finding the Fourth Proportional to 5,788.42, 7,988.02 and 3,135.83

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Solution

The fourth proportional to 5,788.42, 7,988.02 and 3,135.83 is: 4,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.42 : 7,988.02 = 3,135.83 : x
  2. Step 2: Convert to fraction form
    5,788.42/7,988.02 = 3,135.83/x
  3. Step 3: Cross multiply
    5,788.42x = 7,988.02 × 3,135.83
  4. Step 4: Simplify right side
    5,788.42x = 25,049,087.55
  5. Step 5: Solve for x
    x = 25,049,087.55/5,788.42
  6. Step 6: Final answer
    x = 4,327.45

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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.