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Finding the Fourth Proportional to 3,447.64, 4,757.60 and 1,875.74

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Solution

The fourth proportional to 3,447.64, 4,757.60 and 1,875.74 is: 2,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.64 : 4,757.60 = 1,875.74 : x
  2. Step 2: Convert to fraction form
    3,447.64/4,757.60 = 1,875.74/x
  3. Step 3: Cross multiply
    3,447.64x = 4,757.60 × 1,875.74
  4. Step 4: Simplify right side
    3,447.64x = 8,924,001.53
  5. Step 5: Solve for x
    x = 8,924,001.53/3,447.64
  6. Step 6: Final answer
    x = 2,588.44

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