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Finding the Fourth Proportional to 5,815.20, 8,722.80 and 3,482.40

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Solution

The fourth proportional to 5,815.20, 8,722.80 and 3,482.40 is: 5,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.20 : 8,722.80 = 3,482.40 : x
  2. Step 2: Convert to fraction form
    5,815.20/8,722.80 = 3,482.40/x
  3. Step 3: Cross multiply
    5,815.20x = 8,722.80 × 3,482.40
  4. Step 4: Simplify right side
    5,815.20x = 30,376,278.72
  5. Step 5: Solve for x
    x = 30,376,278.72/5,815.20
  6. Step 6: Final answer
    x = 5,223.60

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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.