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Finding the Fourth Proportional to 5,902.08, 8,853.12 and 1,798.08

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Solution

The fourth proportional to 5,902.08, 8,853.12 and 1,798.08 is: 2,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.08 : 8,853.12 = 1,798.08 : x
  2. Step 2: Convert to fraction form
    5,902.08/8,853.12 = 1,798.08/x
  3. Step 3: Cross multiply
    5,902.08x = 8,853.12 × 1,798.08
  4. Step 4: Simplify right side
    5,902.08x = 15,918,618.01
  5. Step 5: Solve for x
    x = 15,918,618.01/5,902.08
  6. Step 6: Final answer
    x = 2,697.12

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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.