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Finding the Fourth Proportional to 5,626.88, 8,441.60 and 2,854.40

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Solution

The fourth proportional to 5,626.88, 8,441.60 and 2,854.40 is: 4,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.88 : 8,441.60 = 2,854.40 : x
  2. Step 2: Convert to fraction form
    5,626.88/8,441.60 = 2,854.40/x
  3. Step 3: Cross multiply
    5,626.88x = 8,441.60 × 2,854.40
  4. Step 4: Simplify right side
    5,626.88x = 24,095,703.04
  5. Step 5: Solve for x
    x = 24,095,703.04/5,626.88
  6. Step 6: Final answer
    x = 4,282.25

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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.