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Finding the Fourth Proportional to 5,234.40, 7,218.04 and 3,642.84

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Solution

The fourth proportional to 5,234.40, 7,218.04 and 3,642.84 is: 5,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.40 : 7,218.04 = 3,642.84 : x
  2. Step 2: Convert to fraction form
    5,234.40/7,218.04 = 3,642.84/x
  3. Step 3: Cross multiply
    5,234.40x = 7,218.04 × 3,642.84
  4. Step 4: Simplify right side
    5,234.40x = 26,294,164.83
  5. Step 5: Solve for x
    x = 26,294,164.83/5,234.40
  6. Step 6: Final answer
    x = 5,023.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.