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Finding the Fourth Proportional to 5,778.54, 8,667.14 and 1,618.88

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Solution

The fourth proportional to 5,778.54, 8,667.14 and 1,618.88 is: 2,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.54 : 8,667.14 = 1,618.88 : x
  2. Step 2: Convert to fraction form
    5,778.54/8,667.14 = 1,618.88/x
  3. Step 3: Cross multiply
    5,778.54x = 8,667.14 × 1,618.88
  4. Step 4: Simplify right side
    5,778.54x = 14,031,073.18
  5. Step 5: Solve for x
    x = 14,031,073.18/5,778.54
  6. Step 6: Final answer
    x = 2,428.13

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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.