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Finding the Fourth Proportional to 4,352.40, 6,538.20 and 4,237.20

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Solution

The fourth proportional to 4,352.40, 6,538.20 and 4,237.20 is: 6,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.40 : 6,538.20 = 4,237.20 : x
  2. Step 2: Convert to fraction form
    4,352.40/6,538.20 = 4,237.20/x
  3. Step 3: Cross multiply
    4,352.40x = 6,538.20 × 4,237.20
  4. Step 4: Simplify right side
    4,352.40x = 27,703,661.04
  5. Step 5: Solve for x
    x = 27,703,661.04/4,352.40
  6. Step 6: Final answer
    x = 6,365.15

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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.