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Finding the Fourth Proportional to 4,178.72, 6,267.80 and 1,712.88

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Solution

The fourth proportional to 4,178.72, 6,267.80 and 1,712.88 is: 2,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.72 : 6,267.80 = 1,712.88 : x
  2. Step 2: Convert to fraction form
    4,178.72/6,267.80 = 1,712.88/x
  3. Step 3: Cross multiply
    4,178.72x = 6,267.80 × 1,712.88
  4. Step 4: Simplify right side
    4,178.72x = 10,735,993.55
  5. Step 5: Solve for x
    x = 10,735,993.55/4,178.72
  6. Step 6: Final answer
    x = 2,569.20

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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.