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Finding the Fourth Proportional to 4,928.31, 7,392.47 and 2,005.83

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Solution

The fourth proportional to 4,928.31, 7,392.47 and 2,005.83 is: 3,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.31 : 7,392.47 = 2,005.83 : x
  2. Step 2: Convert to fraction form
    4,928.31/7,392.47 = 2,005.83/x
  3. Step 3: Cross multiply
    4,928.31x = 7,392.47 × 2,005.83
  4. Step 4: Simplify right side
    4,928.31x = 14,828,028.07
  5. Step 5: Solve for x
    x = 14,828,028.07/4,928.31
  6. Step 6: Final answer
    x = 3,008.75

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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.