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Finding the Fourth Proportional to 5,174.52, 7,142.40 and 4,909.98

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Solution

The fourth proportional to 5,174.52, 7,142.40 and 4,909.98 is: 6,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.52 : 7,142.40 = 4,909.98 : x
  2. Step 2: Convert to fraction form
    5,174.52/7,142.40 = 4,909.98/x
  3. Step 3: Cross multiply
    5,174.52x = 7,142.40 × 4,909.98
  4. Step 4: Simplify right side
    5,174.52x = 35,069,041.15
  5. Step 5: Solve for x
    x = 35,069,041.15/5,174.52
  6. Step 6: Final answer
    x = 6,777.25

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