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Finding the Fourth Proportional to 5,266.08, 7,898.80 and 1,978.92

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Solution

The fourth proportional to 5,266.08, 7,898.80 and 1,978.92 is: 2,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.08 : 7,898.80 = 1,978.92 : x
  2. Step 2: Convert to fraction form
    5,266.08/7,898.80 = 1,978.92/x
  3. Step 3: Cross multiply
    5,266.08x = 7,898.80 × 1,978.92
  4. Step 4: Simplify right side
    5,266.08x = 15,631,093.30
  5. Step 5: Solve for x
    x = 15,631,093.30/5,266.08
  6. Step 6: Final answer
    x = 2,968.26

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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.