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Finding the Fourth Proportional to 4,572.04, 6,858.42 and 2,263

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Solution

The fourth proportional to 4,572.04, 6,858.42 and 2,263 is: 3,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.04 : 6,858.42 = 2,263 : x
  2. Step 2: Convert to fraction form
    4,572.04/6,858.42 = 2,263/x
  3. Step 3: Cross multiply
    4,572.04x = 6,858.42 × 2,263
  4. Step 4: Simplify right side
    4,572.04x = 15,520,604.46
  5. Step 5: Solve for x
    x = 15,520,604.46/4,572.04
  6. Step 6: Final answer
    x = 3,394.68

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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.