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Finding the Fourth Proportional to 5,256.73, 7,885.82 and 1,924.54

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Solution

The fourth proportional to 5,256.73, 7,885.82 and 1,924.54 is: 2,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.73 : 7,885.82 = 1,924.54 : x
  2. Step 2: Convert to fraction form
    5,256.73/7,885.82 = 1,924.54/x
  3. Step 3: Cross multiply
    5,256.73x = 7,885.82 × 1,924.54
  4. Step 4: Simplify right side
    5,256.73x = 15,176,605.48
  5. Step 5: Solve for x
    x = 15,176,605.48/5,256.73
  6. Step 6: Final answer
    x = 2,887.08

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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.