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Finding the Fourth Proportional to 3,589.56, 4,956.71 and 2,758.50

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Solution

The fourth proportional to 3,589.56, 4,956.71 and 2,758.50 is: 3,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.56 : 4,956.71 = 2,758.50 : x
  2. Step 2: Convert to fraction form
    3,589.56/4,956.71 = 2,758.50/x
  3. Step 3: Cross multiply
    3,589.56x = 4,956.71 × 2,758.50
  4. Step 4: Simplify right side
    3,589.56x = 13,673,070.74
  5. Step 5: Solve for x
    x = 13,673,070.74/3,589.56
  6. Step 6: Final answer
    x = 3,809.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.