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Finding the Fourth Proportional to 3,801.51, 5,248.56 and 3,402.48

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Solution

The fourth proportional to 3,801.51, 5,248.56 and 3,402.48 is: 4,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.51 : 5,248.56 = 3,402.48 : x
  2. Step 2: Convert to fraction form
    3,801.51/5,248.56 = 3,402.48/x
  3. Step 3: Cross multiply
    3,801.51x = 5,248.56 × 3,402.48
  4. Step 4: Simplify right side
    3,801.51x = 17,858,135.46
  5. Step 5: Solve for x
    x = 17,858,135.46/3,801.51
  6. Step 6: Final answer
    x = 4,697.64

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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.