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Finding the Fourth Proportional to 3,751.60, 5,627.40 and 1,671.16

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Solution

The fourth proportional to 3,751.60, 5,627.40 and 1,671.16 is: 2,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.60 : 5,627.40 = 1,671.16 : x
  2. Step 2: Convert to fraction form
    3,751.60/5,627.40 = 1,671.16/x
  3. Step 3: Cross multiply
    3,751.60x = 5,627.40 × 1,671.16
  4. Step 4: Simplify right side
    3,751.60x = 9,404,285.78
  5. Step 5: Solve for x
    x = 9,404,285.78/3,751.60
  6. Step 6: Final answer
    x = 2,506.74

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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.