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Finding the Fourth Proportional to 5,088.78, 7,022.07 and 2,992.50

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Solution

The fourth proportional to 5,088.78, 7,022.07 and 2,992.50 is: 4,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.78 : 7,022.07 = 2,992.50 : x
  2. Step 2: Convert to fraction form
    5,088.78/7,022.07 = 2,992.50/x
  3. Step 3: Cross multiply
    5,088.78x = 7,022.07 × 2,992.50
  4. Step 4: Simplify right side
    5,088.78x = 21,013,544.48
  5. Step 5: Solve for x
    x = 21,013,544.48/5,088.78
  6. Step 6: Final answer
    x = 4,129.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.