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Finding the Fourth Proportional to 4,309.77, 6,464.37 and 1,387.83

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Solution

The fourth proportional to 4,309.77, 6,464.37 and 1,387.83 is: 2,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.77 : 6,464.37 = 1,387.83 : x
  2. Step 2: Convert to fraction form
    4,309.77/6,464.37 = 1,387.83/x
  3. Step 3: Cross multiply
    4,309.77x = 6,464.37 × 1,387.83
  4. Step 4: Simplify right side
    4,309.77x = 8,971,446.62
  5. Step 5: Solve for x
    x = 8,971,446.62/4,309.77
  6. Step 6: Final answer
    x = 2,081.65

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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.