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Finding the Fourth Proportional to 5,693.78, 8,522.45 and 3,054.80

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Solution

The fourth proportional to 5,693.78, 8,522.45 and 3,054.80 is: 4,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.78 : 8,522.45 = 3,054.80 : x
  2. Step 2: Convert to fraction form
    5,693.78/8,522.45 = 3,054.80/x
  3. Step 3: Cross multiply
    5,693.78x = 8,522.45 × 3,054.80
  4. Step 4: Simplify right side
    5,693.78x = 26,034,386.29
  5. Step 5: Solve for x
    x = 26,034,386.29/5,693.78
  6. Step 6: Final answer
    x = 4,572.42

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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.