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Finding the Fourth Proportional to 5,235.74, 7,218.10 and 4,177.08

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Solution

The fourth proportional to 5,235.74, 7,218.10 and 4,177.08 is: 5,758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.74 : 7,218.10 = 4,177.08 : x
  2. Step 2: Convert to fraction form
    5,235.74/7,218.10 = 4,177.08/x
  3. Step 3: Cross multiply
    5,235.74x = 7,218.10 × 4,177.08
  4. Step 4: Simplify right side
    5,235.74x = 30,150,581.15
  5. Step 5: Solve for x
    x = 30,150,581.15/5,235.74
  6. Step 6: Final answer
    x = 5,758.61

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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.