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Finding the Fourth Proportional to 4,259.90, 6,387.84 and 1,589.68

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Solution

The fourth proportional to 4,259.90, 6,387.84 and 1,589.68 is: 2,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.90 : 6,387.84 = 1,589.68 : x
  2. Step 2: Convert to fraction form
    4,259.90/6,387.84 = 1,589.68/x
  3. Step 3: Cross multiply
    4,259.90x = 6,387.84 × 1,589.68
  4. Step 4: Simplify right side
    4,259.90x = 10,154,621.49
  5. Step 5: Solve for x
    x = 10,154,621.49/4,259.90
  6. Step 6: Final answer
    x = 2,383.77

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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.