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Finding the Fourth Proportional to 5,369.05, 7,411.13 and 3,245.77

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Solution

The fourth proportional to 5,369.05, 7,411.13 and 3,245.77 is: 4,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.05 : 7,411.13 = 3,245.77 : x
  2. Step 2: Convert to fraction form
    5,369.05/7,411.13 = 3,245.77/x
  3. Step 3: Cross multiply
    5,369.05x = 7,411.13 × 3,245.77
  4. Step 4: Simplify right side
    5,369.05x = 24,054,823.42
  5. Step 5: Solve for x
    x = 24,054,823.42/5,369.05
  6. Step 6: Final answer
    x = 4,480.28

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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.