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Finding the Fourth Proportional to 5,643.20, 8,464.80 and 5,278.70

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Solution

The fourth proportional to 5,643.20, 8,464.80 and 5,278.70 is: 7,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.20 : 8,464.80 = 5,278.70 : x
  2. Step 2: Convert to fraction form
    5,643.20/8,464.80 = 5,278.70/x
  3. Step 3: Cross multiply
    5,643.20x = 8,464.80 × 5,278.70
  4. Step 4: Simplify right side
    5,643.20x = 44,683,139.76
  5. Step 5: Solve for x
    x = 44,683,139.76/5,643.20
  6. Step 6: Final answer
    x = 7,918.05

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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.