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Finding the Fourth Proportional to 4,929.75, 7,393.02 and 1,641.96

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Solution

The fourth proportional to 4,929.75, 7,393.02 and 1,641.96 is: 2,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.75 : 7,393.02 = 1,641.96 : x
  2. Step 2: Convert to fraction form
    4,929.75/7,393.02 = 1,641.96/x
  3. Step 3: Cross multiply
    4,929.75x = 7,393.02 × 1,641.96
  4. Step 4: Simplify right side
    4,929.75x = 12,139,043.12
  5. Step 5: Solve for x
    x = 12,139,043.12/4,929.75
  6. Step 6: Final answer
    x = 2,462.41

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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.