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Finding the Fourth Proportional to 2,847.08, 4,264.04 and 2,748.60

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Solution

The fourth proportional to 2,847.08, 4,264.04 and 2,748.60 is: 4,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.08 : 4,264.04 = 2,748.60 : x
  2. Step 2: Convert to fraction form
    2,847.08/4,264.04 = 2,748.60/x
  3. Step 3: Cross multiply
    2,847.08x = 4,264.04 × 2,748.60
  4. Step 4: Simplify right side
    2,847.08x = 11,720,147.22
  5. Step 5: Solve for x
    x = 11,720,147.22/2,847.08
  6. Step 6: Final answer
    x = 4,116.55

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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.