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Finding the Fourth Proportional to 6,330.50, 8,728.98 and 4,089.42

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Solution

The fourth proportional to 6,330.50, 8,728.98 and 4,089.42 is: 5,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.50 : 8,728.98 = 4,089.42 : x
  2. Step 2: Convert to fraction form
    6,330.50/8,728.98 = 4,089.42/x
  3. Step 3: Cross multiply
    6,330.50x = 8,728.98 × 4,089.42
  4. Step 4: Simplify right side
    6,330.50x = 35,696,465.39
  5. Step 5: Solve for x
    x = 35,696,465.39/6,330.50
  6. Step 6: Final answer
    x = 5,638.81

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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.