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Finding the Fourth Proportional to 5,971.17, 8,956.12 and 1,589.01

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Solution

The fourth proportional to 5,971.17, 8,956.12 and 1,589.01 is: 2,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.17 : 8,956.12 = 1,589.01 : x
  2. Step 2: Convert to fraction form
    5,971.17/8,956.12 = 1,589.01/x
  3. Step 3: Cross multiply
    5,971.17x = 8,956.12 × 1,589.01
  4. Step 4: Simplify right side
    5,971.17x = 14,231,364.24
  5. Step 5: Solve for x
    x = 14,231,364.24/5,971.17
  6. Step 6: Final answer
    x = 2,383.35

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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.