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Finding the Fourth Proportional to 5,204.52, 7,834.86 and 4,752.54

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Solution

The fourth proportional to 5,204.52, 7,834.86 and 4,752.54 is: 7,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.52 : 7,834.86 = 4,752.54 : x
  2. Step 2: Convert to fraction form
    5,204.52/7,834.86 = 4,752.54/x
  3. Step 3: Cross multiply
    5,204.52x = 7,834.86 × 4,752.54
  4. Step 4: Simplify right side
    5,204.52x = 37,235,485.54
  5. Step 5: Solve for x
    x = 37,235,485.54/5,204.52
  6. Step 6: Final answer
    x = 7,154.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.