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Finding the Fourth Proportional to 4,932.88, 7,410.80 and 4,667.47

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Solution

The fourth proportional to 4,932.88, 7,410.80 and 4,667.47 is: 7,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.88 : 7,410.80 = 4,667.47 : x
  2. Step 2: Convert to fraction form
    4,932.88/7,410.80 = 4,667.47/x
  3. Step 3: Cross multiply
    4,932.88x = 7,410.80 × 4,667.47
  4. Step 4: Simplify right side
    4,932.88x = 34,589,686.68
  5. Step 5: Solve for x
    x = 34,589,686.68/4,932.88
  6. Step 6: Final answer
    x = 7,012.07

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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.