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Finding the Fourth Proportional to 5,329.86, 7,352.84 and 3,204.15

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Solution

The fourth proportional to 5,329.86, 7,352.84 and 3,204.15 is: 4,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.86 : 7,352.84 = 3,204.15 : x
  2. Step 2: Convert to fraction form
    5,329.86/7,352.84 = 3,204.15/x
  3. Step 3: Cross multiply
    5,329.86x = 7,352.84 × 3,204.15
  4. Step 4: Simplify right side
    5,329.86x = 23,559,586.27
  5. Step 5: Solve for x
    x = 23,559,586.27/5,329.86
  6. Step 6: Final answer
    x = 4,420.30

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1.5x scale

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.