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Finding the Fourth Proportional to 5,776.96, 7,975.20 and 3,542.08

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Solution

The fourth proportional to 5,776.96, 7,975.20 and 3,542.08 is: 4,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.96 : 7,975.20 = 3,542.08 : x
  2. Step 2: Convert to fraction form
    5,776.96/7,975.20 = 3,542.08/x
  3. Step 3: Cross multiply
    5,776.96x = 7,975.20 × 3,542.08
  4. Step 4: Simplify right side
    5,776.96x = 28,248,796.42
  5. Step 5: Solve for x
    x = 28,248,796.42/5,776.96
  6. Step 6: Final answer
    x = 4,889.91

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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.