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Finding the Fourth Proportional to 3,809.52, 5,258.04 and 2,316.84

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Solution

The fourth proportional to 3,809.52, 5,258.04 and 2,316.84 is: 3,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.52 : 5,258.04 = 2,316.84 : x
  2. Step 2: Convert to fraction form
    3,809.52/5,258.04 = 2,316.84/x
  3. Step 3: Cross multiply
    3,809.52x = 5,258.04 × 2,316.84
  4. Step 4: Simplify right side
    3,809.52x = 12,182,037.39
  5. Step 5: Solve for x
    x = 12,182,037.39/3,809.52
  6. Step 6: Final answer
    x = 3,197.79

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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.