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Finding the Fourth Proportional to 5,536.78, 7,648.05 and 4,104.05

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Solution

The fourth proportional to 5,536.78, 7,648.05 and 4,104.05 is: 5,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.78 : 7,648.05 = 4,104.05 : x
  2. Step 2: Convert to fraction form
    5,536.78/7,648.05 = 4,104.05/x
  3. Step 3: Cross multiply
    5,536.78x = 7,648.05 × 4,104.05
  4. Step 4: Simplify right side
    5,536.78x = 31,387,999.77
  5. Step 5: Solve for x
    x = 31,387,999.77/5,536.78
  6. Step 6: Final answer
    x = 5,668.99

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