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Finding the Fourth Proportional to 4,178.66, 6,271.14 and 2,859.26

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Solution

The fourth proportional to 4,178.66, 6,271.14 and 2,859.26 is: 4,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.66 : 6,271.14 = 2,859.26 : x
  2. Step 2: Convert to fraction form
    4,178.66/6,271.14 = 2,859.26/x
  3. Step 3: Cross multiply
    4,178.66x = 6,271.14 × 2,859.26
  4. Step 4: Simplify right side
    4,178.66x = 17,930,819.76
  5. Step 5: Solve for x
    x = 17,930,819.76/4,178.66
  6. Step 6: Final answer
    x = 4,291.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.