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Finding the Fourth Proportional to 5,196.08, 7,798.52 and 2,078.28

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Solution

The fourth proportional to 5,196.08, 7,798.52 and 2,078.28 is: 3,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.08 : 7,798.52 = 2,078.28 : x
  2. Step 2: Convert to fraction form
    5,196.08/7,798.52 = 2,078.28/x
  3. Step 3: Cross multiply
    5,196.08x = 7,798.52 × 2,078.28
  4. Step 4: Simplify right side
    5,196.08x = 16,207,513.34
  5. Step 5: Solve for x
    x = 16,207,513.34/5,196.08
  6. Step 6: Final answer
    x = 3,119.18

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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.