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Finding the Fourth Proportional to 3,447.80, 4,757.72 and 1,875.86

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Solution

The fourth proportional to 3,447.80, 4,757.72 and 1,875.86 is: 2,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.80 : 4,757.72 = 1,875.86 : x
  2. Step 2: Convert to fraction form
    3,447.80/4,757.72 = 1,875.86/x
  3. Step 3: Cross multiply
    3,447.80x = 4,757.72 × 1,875.86
  4. Step 4: Simplify right side
    3,447.80x = 8,924,816.64
  5. Step 5: Solve for x
    x = 8,924,816.64/3,447.80
  6. Step 6: Final answer
    x = 2,588.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.