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Finding the Fourth Proportional to 4,909.50, 7,373.69 and 4,208.30

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Solution

The fourth proportional to 4,909.50, 7,373.69 and 4,208.30 is: 6,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.50 : 7,373.69 = 4,208.30 : x
  2. Step 2: Convert to fraction form
    4,909.50/7,373.69 = 4,208.30/x
  3. Step 3: Cross multiply
    4,909.50x = 7,373.69 × 4,208.30
  4. Step 4: Simplify right side
    4,909.50x = 31,030,641.72
  5. Step 5: Solve for x
    x = 31,030,641.72/4,909.50
  6. Step 6: Final answer
    x = 6,320.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.