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Finding the Fourth Proportional to 4,998.78, 7,502.49 and 1,922.94

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Solution

The fourth proportional to 4,998.78, 7,502.49 and 1,922.94 is: 2,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.78 : 7,502.49 = 1,922.94 : x
  2. Step 2: Convert to fraction form
    4,998.78/7,502.49 = 1,922.94/x
  3. Step 3: Cross multiply
    4,998.78x = 7,502.49 × 1,922.94
  4. Step 4: Simplify right side
    4,998.78x = 14,426,838.12
  5. Step 5: Solve for x
    x = 14,426,838.12/4,998.78
  6. Step 6: Final answer
    x = 2,886.07

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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.