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Finding the Fourth Proportional to 4,801.57, 6,627.03 and 3,814.40

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Solution

The fourth proportional to 4,801.57, 6,627.03 and 3,814.40 is: 5,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.57 : 6,627.03 = 3,814.40 : x
  2. Step 2: Convert to fraction form
    4,801.57/6,627.03 = 3,814.40/x
  3. Step 3: Cross multiply
    4,801.57x = 6,627.03 × 3,814.40
  4. Step 4: Simplify right side
    4,801.57x = 25,278,143.23
  5. Step 5: Solve for x
    x = 25,278,143.23/4,801.57
  6. Step 6: Final answer
    x = 5,264.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.