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Finding the Fourth Proportional to 4,566.87, 6,845.49 and 2,590.02

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Solution

The fourth proportional to 4,566.87, 6,845.49 and 2,590.02 is: 3,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.87 : 6,845.49 = 2,590.02 : x
  2. Step 2: Convert to fraction form
    4,566.87/6,845.49 = 2,590.02/x
  3. Step 3: Cross multiply
    4,566.87x = 6,845.49 × 2,590.02
  4. Step 4: Simplify right side
    4,566.87x = 17,729,956.01
  5. Step 5: Solve for x
    x = 17,729,956.01/4,566.87
  6. Step 6: Final answer
    x = 3,882.30

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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.