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Finding the Fourth Proportional to 5,321.08, 7,982.16 and 2,036.93

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Solution

The fourth proportional to 5,321.08, 7,982.16 and 2,036.93 is: 3,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.08 : 7,982.16 = 2,036.93 : x
  2. Step 2: Convert to fraction form
    5,321.08/7,982.16 = 2,036.93/x
  3. Step 3: Cross multiply
    5,321.08x = 7,982.16 × 2,036.93
  4. Step 4: Simplify right side
    5,321.08x = 16,259,101.17
  5. Step 5: Solve for x
    x = 16,259,101.17/5,321.08
  6. Step 6: Final answer
    x = 3,055.60

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Why These Related Problems?

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