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Finding the Fourth Proportional to 4,752.38, 6,558.63 and 2,656.37

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Solution

The fourth proportional to 4,752.38, 6,558.63 and 2,656.37 is: 3,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.38 : 6,558.63 = 2,656.37 : x
  2. Step 2: Convert to fraction form
    4,752.38/6,558.63 = 2,656.37/x
  3. Step 3: Cross multiply
    4,752.38x = 6,558.63 × 2,656.37
  4. Step 4: Simplify right side
    4,752.38x = 17,422,147.97
  5. Step 5: Solve for x
    x = 17,422,147.97/4,752.38
  6. Step 6: Final answer
    x = 3,665.98

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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.