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Finding the Fourth Proportional to 5,406.74, 8,104.11 and 2,482.10

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Solution

The fourth proportional to 5,406.74, 8,104.11 and 2,482.10 is: 3,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.74 : 8,104.11 = 2,482.10 : x
  2. Step 2: Convert to fraction form
    5,406.74/8,104.11 = 2,482.10/x
  3. Step 3: Cross multiply
    5,406.74x = 8,104.11 × 2,482.10
  4. Step 4: Simplify right side
    5,406.74x = 20,115,211.43
  5. Step 5: Solve for x
    x = 20,115,211.43/5,406.74
  6. Step 6: Final answer
    x = 3,720.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.