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Finding the Fourth Proportional to 4,186.68, 6,281.64 and 1,589.01

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Solution

The fourth proportional to 4,186.68, 6,281.64 and 1,589.01 is: 2,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.68 : 6,281.64 = 1,589.01 : x
  2. Step 2: Convert to fraction form
    4,186.68/6,281.64 = 1,589.01/x
  3. Step 3: Cross multiply
    4,186.68x = 6,281.64 × 1,589.01
  4. Step 4: Simplify right side
    4,186.68x = 9,981,588.78
  5. Step 5: Solve for x
    x = 9,981,588.78/4,186.68
  6. Step 6: Final answer
    x = 2,384.13

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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.