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Finding the Fourth Proportional to 5,265.24, 7,898.76 and 1,978.80

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Solution

The fourth proportional to 5,265.24, 7,898.76 and 1,978.80 is: 2,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.24 : 7,898.76 = 1,978.80 : x
  2. Step 2: Convert to fraction form
    5,265.24/7,898.76 = 1,978.80/x
  3. Step 3: Cross multiply
    5,265.24x = 7,898.76 × 1,978.80
  4. Step 4: Simplify right side
    5,265.24x = 15,630,066.29
  5. Step 5: Solve for x
    x = 15,630,066.29/5,265.24
  6. Step 6: Final answer
    x = 2,968.54

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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.