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Finding the Fourth Proportional to 3,447.76, 4,757.80 and 1,875.84

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Solution

The fourth proportional to 3,447.76, 4,757.80 and 1,875.84 is: 2,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.76 : 4,757.80 = 1,875.84 : x
  2. Step 2: Convert to fraction form
    3,447.76/4,757.80 = 1,875.84/x
  3. Step 3: Cross multiply
    3,447.76x = 4,757.80 × 1,875.84
  4. Step 4: Simplify right side
    3,447.76x = 8,924,871.55
  5. Step 5: Solve for x
    x = 8,924,871.55/3,447.76
  6. Step 6: Final answer
    x = 2,588.60

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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.