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Finding the Fourth Proportional to 5,985.78, 8,979.12 and 1,826.14

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Solution

The fourth proportional to 5,985.78, 8,979.12 and 1,826.14 is: 2,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.78 : 8,979.12 = 1,826.14 : x
  2. Step 2: Convert to fraction form
    5,985.78/8,979.12 = 1,826.14/x
  3. Step 3: Cross multiply
    5,985.78x = 8,979.12 × 1,826.14
  4. Step 4: Simplify right side
    5,985.78x = 16,397,130.20
  5. Step 5: Solve for x
    x = 16,397,130.20/5,985.78
  6. Step 6: Final answer
    x = 2,739.35

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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.