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Finding the Fourth Proportional to 4,157.86, 6,237.40 and 1,235.78

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Solution

The fourth proportional to 4,157.86, 6,237.40 and 1,235.78 is: 1,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.86 : 6,237.40 = 1,235.78 : x
  2. Step 2: Convert to fraction form
    4,157.86/6,237.40 = 1,235.78/x
  3. Step 3: Cross multiply
    4,157.86x = 6,237.40 × 1,235.78
  4. Step 4: Simplify right side
    4,157.86x = 7,708,054.17
  5. Step 5: Solve for x
    x = 7,708,054.17/4,157.86
  6. Step 6: Final answer
    x = 1,853.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.