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Finding the Fourth Proportional to 5,223.20, 7,834.80 and 4,980.20

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Solution

The fourth proportional to 5,223.20, 7,834.80 and 4,980.20 is: 7,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.20 : 7,834.80 = 4,980.20 : x
  2. Step 2: Convert to fraction form
    5,223.20/7,834.80 = 4,980.20/x
  3. Step 3: Cross multiply
    5,223.20x = 7,834.80 × 4,980.20
  4. Step 4: Simplify right side
    5,223.20x = 39,018,870.96
  5. Step 5: Solve for x
    x = 39,018,870.96/5,223.20
  6. Step 6: Final answer
    x = 7,470.30

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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.