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Finding the Fourth Proportional to 5,406.52, 7,464.24 and 4,846

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Solution

The fourth proportional to 5,406.52, 7,464.24 and 4,846 is: 6,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.52 : 7,464.24 = 4,846 : x
  2. Step 2: Convert to fraction form
    5,406.52/7,464.24 = 4,846/x
  3. Step 3: Cross multiply
    5,406.52x = 7,464.24 × 4,846
  4. Step 4: Simplify right side
    5,406.52x = 36,171,707.04
  5. Step 5: Solve for x
    x = 36,171,707.04/5,406.52
  6. Step 6: Final answer
    x = 6,690.39

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Why These Related Problems?

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