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Finding the Fourth Proportional to 4,335.78, 5,983.32 and 2,473.14

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Solution

The fourth proportional to 4,335.78, 5,983.32 and 2,473.14 is: 3,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.78 : 5,983.32 = 2,473.14 : x
  2. Step 2: Convert to fraction form
    4,335.78/5,983.32 = 2,473.14/x
  3. Step 3: Cross multiply
    4,335.78x = 5,983.32 × 2,473.14
  4. Step 4: Simplify right side
    4,335.78x = 14,797,588.02
  5. Step 5: Solve for x
    x = 14,797,588.02/4,335.78
  6. Step 6: Final answer
    x = 3,412.90

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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.