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Finding the Fourth Proportional to 4,589.78, 6,884.67 and 1,127

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Solution

The fourth proportional to 4,589.78, 6,884.67 and 1,127 is: 1,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.78 : 6,884.67 = 1,127 : x
  2. Step 2: Convert to fraction form
    4,589.78/6,884.67 = 1,127/x
  3. Step 3: Cross multiply
    4,589.78x = 6,884.67 × 1,127
  4. Step 4: Simplify right side
    4,589.78x = 7,759,023.09
  5. Step 5: Solve for x
    x = 7,759,023.09/4,589.78
  6. Step 6: Final answer
    x = 1,690.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.