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Finding the Fourth Proportional to 5,365.76, 7,401.76 and 3,375.58

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Solution

The fourth proportional to 5,365.76, 7,401.76 and 3,375.58 is: 4,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.76 : 7,401.76 = 3,375.58 : x
  2. Step 2: Convert to fraction form
    5,365.76/7,401.76 = 3,375.58/x
  3. Step 3: Cross multiply
    5,365.76x = 7,401.76 × 3,375.58
  4. Step 4: Simplify right side
    5,365.76x = 24,985,233.02
  5. Step 5: Solve for x
    x = 24,985,233.02/5,365.76
  6. Step 6: Final answer
    x = 4,656.42

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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.