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Finding the Fourth Proportional to 5,307.84, 7,945.32 and 4,520.52

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Solution

The fourth proportional to 5,307.84, 7,945.32 and 4,520.52 is: 6,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.84 : 7,945.32 = 4,520.52 : x
  2. Step 2: Convert to fraction form
    5,307.84/7,945.32 = 4,520.52/x
  3. Step 3: Cross multiply
    5,307.84x = 7,945.32 × 4,520.52
  4. Step 4: Simplify right side
    5,307.84x = 35,916,977.97
  5. Step 5: Solve for x
    x = 35,916,977.97/5,307.84
  6. Step 6: Final answer
    x = 6,766.78

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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.