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Finding the Fourth Proportional to 4,774.65, 6,589.31 and 2,678.91

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Solution

The fourth proportional to 4,774.65, 6,589.31 and 2,678.91 is: 3,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.65 : 6,589.31 = 2,678.91 : x
  2. Step 2: Convert to fraction form
    4,774.65/6,589.31 = 2,678.91/x
  3. Step 3: Cross multiply
    4,774.65x = 6,589.31 × 2,678.91
  4. Step 4: Simplify right side
    4,774.65x = 17,652,168.45
  5. Step 5: Solve for x
    x = 17,652,168.45/4,774.65
  6. Step 6: Final answer
    x = 3,697.06

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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.