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Finding the Fourth Proportional to 3,627.60, 5,444.14 and 2,656.22

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Solution

The fourth proportional to 3,627.60, 5,444.14 and 2,656.22 is: 3,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.60 : 5,444.14 = 2,656.22 : x
  2. Step 2: Convert to fraction form
    3,627.60/5,444.14 = 2,656.22/x
  3. Step 3: Cross multiply
    3,627.60x = 5,444.14 × 2,656.22
  4. Step 4: Simplify right side
    3,627.60x = 14,460,833.55
  5. Step 5: Solve for x
    x = 14,460,833.55/3,627.60
  6. Step 6: Final answer
    x = 3,986.34

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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.