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Finding the Fourth Proportional to 5,777.48, 7,974.96 and 3,421.64

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Solution

The fourth proportional to 5,777.48, 7,974.96 and 3,421.64 is: 4,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.48 : 7,974.96 = 3,421.64 : x
  2. Step 2: Convert to fraction form
    5,777.48/7,974.96 = 3,421.64/x
  3. Step 3: Cross multiply
    5,777.48x = 7,974.96 × 3,421.64
  4. Step 4: Simplify right side
    5,777.48x = 27,287,442.13
  5. Step 5: Solve for x
    x = 27,287,442.13/5,777.48
  6. Step 6: Final answer
    x = 4,723.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.