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Finding the Fourth Proportional to 5,081.65, 7,637.51 and 4,209.74

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Solution

The fourth proportional to 5,081.65, 7,637.51 and 4,209.74 is: 6,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,081.65 : 7,637.51 = 4,209.74 : x
  2. Step 2: Convert to fraction form
    5,081.65/7,637.51 = 4,209.74/x
  3. Step 3: Cross multiply
    5,081.65x = 7,637.51 × 4,209.74
  4. Step 4: Simplify right side
    5,081.65x = 32,151,932.32
  5. Step 5: Solve for x
    x = 32,151,932.32/5,081.65
  6. Step 6: Final answer
    x = 6,327.07

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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.