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Finding the Fourth Proportional to 4,572.12, 6,854.82 and 2,263.08

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Solution

The fourth proportional to 4,572.12, 6,854.82 and 2,263.08 is: 3,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.12 : 6,854.82 = 2,263.08 : x
  2. Step 2: Convert to fraction form
    4,572.12/6,854.82 = 2,263.08/x
  3. Step 3: Cross multiply
    4,572.12x = 6,854.82 × 2,263.08
  4. Step 4: Simplify right side
    4,572.12x = 15,513,006.05
  5. Step 5: Solve for x
    x = 15,513,006.05/4,572.12
  6. Step 6: Final answer
    x = 3,392.96

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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.