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Finding the Fourth Proportional to 5,535.40, 8,297.70 and 4,952.20

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Solution

The fourth proportional to 5,535.40, 8,297.70 and 4,952.20 is: 7,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.40 : 8,297.70 = 4,952.20 : x
  2. Step 2: Convert to fraction form
    5,535.40/8,297.70 = 4,952.20/x
  3. Step 3: Cross multiply
    5,535.40x = 8,297.70 × 4,952.20
  4. Step 4: Simplify right side
    5,535.40x = 41,091,869.94
  5. Step 5: Solve for x
    x = 41,091,869.94/5,535.40
  6. Step 6: Final answer
    x = 7,423.47

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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.