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Finding the Fourth Proportional to 5,863.20, 8,778 and 4,482.40

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Solution

The fourth proportional to 5,863.20, 8,778 and 4,482.40 is: 6,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.20 : 8,778 = 4,482.40 : x
  2. Step 2: Convert to fraction form
    5,863.20/8,778 = 4,482.40/x
  3. Step 3: Cross multiply
    5,863.20x = 8,778 × 4,482.40
  4. Step 4: Simplify right side
    5,863.20x = 39,346,507.20
  5. Step 5: Solve for x
    x = 39,346,507.20/5,863.20
  6. Step 6: Final answer
    x = 6,710.76

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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.