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Finding the Fourth Proportional to 4,142.74, 5,741.62 and 4,064.98

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Solution

The fourth proportional to 4,142.74, 5,741.62 and 4,064.98 is: 5,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.74 : 5,741.62 = 4,064.98 : x
  2. Step 2: Convert to fraction form
    4,142.74/5,741.62 = 4,064.98/x
  3. Step 3: Cross multiply
    4,142.74x = 5,741.62 × 4,064.98
  4. Step 4: Simplify right side
    4,142.74x = 23,339,570.47
  5. Step 5: Solve for x
    x = 23,339,570.47/4,142.74
  6. Step 6: Final answer
    x = 5,633.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.