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Finding the Fourth Proportional to 3,875.34, 5,370.50 and 3,801.48

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Solution

The fourth proportional to 3,875.34, 5,370.50 and 3,801.48 is: 5,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.34 : 5,370.50 = 3,801.48 : x
  2. Step 2: Convert to fraction form
    3,875.34/5,370.50 = 3,801.48/x
  3. Step 3: Cross multiply
    3,875.34x = 5,370.50 × 3,801.48
  4. Step 4: Simplify right side
    3,875.34x = 20,415,848.34
  5. Step 5: Solve for x
    x = 20,415,848.34/3,875.34
  6. Step 6: Final answer
    x = 5,268.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.