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Finding the Fourth Proportional to 5,258.52, 7,884.14 and 2,335.23

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Solution

The fourth proportional to 5,258.52, 7,884.14 and 2,335.23 is: 3,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.52 : 7,884.14 = 2,335.23 : x
  2. Step 2: Convert to fraction form
    5,258.52/7,884.14 = 2,335.23/x
  3. Step 3: Cross multiply
    5,258.52x = 7,884.14 × 2,335.23
  4. Step 4: Simplify right side
    5,258.52x = 18,411,268.58
  5. Step 5: Solve for x
    x = 18,411,268.58/5,258.52
  6. Step 6: Final answer
    x = 3,501.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.