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Finding the Fourth Proportional to 4,589.98, 6,878.80 and 2,506.86

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Solution

The fourth proportional to 4,589.98, 6,878.80 and 2,506.86 is: 3,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.98 : 6,878.80 = 2,506.86 : x
  2. Step 2: Convert to fraction form
    4,589.98/6,878.80 = 2,506.86/x
  3. Step 3: Cross multiply
    4,589.98x = 6,878.80 × 2,506.86
  4. Step 4: Simplify right side
    4,589.98x = 17,244,182.30
  5. Step 5: Solve for x
    x = 17,244,182.30/4,589.98
  6. Step 6: Final answer
    x = 3,756.92

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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.