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Finding the Fourth Proportional to 5,627.26, 8,446.74 and 4,148.16

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Solution

The fourth proportional to 5,627.26, 8,446.74 and 4,148.16 is: 6,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.26 : 8,446.74 = 4,148.16 : x
  2. Step 2: Convert to fraction form
    5,627.26/8,446.74 = 4,148.16/x
  3. Step 3: Cross multiply
    5,627.26x = 8,446.74 × 4,148.16
  4. Step 4: Simplify right side
    5,627.26x = 35,038,429.00
  5. Step 5: Solve for x
    x = 35,038,429.00/5,627.26
  6. Step 6: Final answer
    x = 6,226.55

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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.