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Finding the Fourth Proportional to 5,329.16, 7,354.80 and 3,205.39

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Solution

The fourth proportional to 5,329.16, 7,354.80 and 3,205.39 is: 4,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.16 : 7,354.80 = 3,205.39 : x
  2. Step 2: Convert to fraction form
    5,329.16/7,354.80 = 3,205.39/x
  3. Step 3: Cross multiply
    5,329.16x = 7,354.80 × 3,205.39
  4. Step 4: Simplify right side
    5,329.16x = 23,575,002.37
  5. Step 5: Solve for x
    x = 23,575,002.37/5,329.16
  6. Step 6: Final answer
    x = 4,423.77

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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.