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Finding the Fourth Proportional to 5,795.64, 8,693.46 and 2,098.08

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Solution

The fourth proportional to 5,795.64, 8,693.46 and 2,098.08 is: 3,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.64 : 8,693.46 = 2,098.08 : x
  2. Step 2: Convert to fraction form
    5,795.64/8,693.46 = 2,098.08/x
  3. Step 3: Cross multiply
    5,795.64x = 8,693.46 × 2,098.08
  4. Step 4: Simplify right side
    5,795.64x = 18,239,574.56
  5. Step 5: Solve for x
    x = 18,239,574.56/5,795.64
  6. Step 6: Final answer
    x = 3,147.12

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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.