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Finding the Fourth Proportional to 4,641.21, 6,401.14 and 4,080.48

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Solution

The fourth proportional to 4,641.21, 6,401.14 and 4,080.48 is: 5,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.21 : 6,401.14 = 4,080.48 : x
  2. Step 2: Convert to fraction form
    4,641.21/6,401.14 = 4,080.48/x
  3. Step 3: Cross multiply
    4,641.21x = 6,401.14 × 4,080.48
  4. Step 4: Simplify right side
    4,641.21x = 26,119,723.75
  5. Step 5: Solve for x
    x = 26,119,723.75/4,641.21
  6. Step 6: Final answer
    x = 5,627.78

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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.