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Finding the Fourth Proportional to 4,572.54, 6,842.07 and 4,223.88

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Solution

The fourth proportional to 4,572.54, 6,842.07 and 4,223.88 is: 6,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.54 : 6,842.07 = 4,223.88 : x
  2. Step 2: Convert to fraction form
    4,572.54/6,842.07 = 4,223.88/x
  3. Step 3: Cross multiply
    4,572.54x = 6,842.07 × 4,223.88
  4. Step 4: Simplify right side
    4,572.54x = 28,900,082.63
  5. Step 5: Solve for x
    x = 28,900,082.63/4,572.54
  6. Step 6: Final answer
    x = 6,320.36

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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.