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Finding the Fourth Proportional to 4,875.79, 7,314.20 and 1,589.14

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Solution

The fourth proportional to 4,875.79, 7,314.20 and 1,589.14 is: 2,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.79 : 7,314.20 = 1,589.14 : x
  2. Step 2: Convert to fraction form
    4,875.79/7,314.20 = 1,589.14/x
  3. Step 3: Cross multiply
    4,875.79x = 7,314.20 × 1,589.14
  4. Step 4: Simplify right side
    4,875.79x = 11,623,287.79
  5. Step 5: Solve for x
    x = 11,623,287.79/4,875.79
  6. Step 6: Final answer
    x = 2,383.88

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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.