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Finding the Fourth Proportional to 3,905.86, 5,858.62 and 1,132.47

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Solution

The fourth proportional to 3,905.86, 5,858.62 and 1,132.47 is: 1,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.86 : 5,858.62 = 1,132.47 : x
  2. Step 2: Convert to fraction form
    3,905.86/5,858.62 = 1,132.47/x
  3. Step 3: Cross multiply
    3,905.86x = 5,858.62 × 1,132.47
  4. Step 4: Simplify right side
    3,905.86x = 6,634,708.56
  5. Step 5: Solve for x
    x = 6,634,708.56/3,905.86
  6. Step 6: Final answer
    x = 1,698.66

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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.