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Finding the Fourth Proportional to 5,777.88, 7,973.29 and 3,654.57

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Solution

The fourth proportional to 5,777.88, 7,973.29 and 3,654.57 is: 5,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.88 : 7,973.29 = 3,654.57 : x
  2. Step 2: Convert to fraction form
    5,777.88/7,973.29 = 3,654.57/x
  3. Step 3: Cross multiply
    5,777.88x = 7,973.29 × 3,654.57
  4. Step 4: Simplify right side
    5,777.88x = 29,138,937.30
  5. Step 5: Solve for x
    x = 29,138,937.30/5,777.88
  6. Step 6: Final answer
    x = 5,043.19

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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.