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Finding the Fourth Proportional to 5,259.64, 7,876.84 and 4,160.44

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Solution

The fourth proportional to 5,259.64, 7,876.84 and 4,160.44 is: 6,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.64 : 7,876.84 = 4,160.44 : x
  2. Step 2: Convert to fraction form
    5,259.64/7,876.84 = 4,160.44/x
  3. Step 3: Cross multiply
    5,259.64x = 7,876.84 × 4,160.44
  4. Step 4: Simplify right side
    5,259.64x = 32,771,120.21
  5. Step 5: Solve for x
    x = 32,771,120.21/5,259.64
  6. Step 6: Final answer
    x = 6,230.68

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1.5x scale

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.