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Finding the Fourth Proportional to 4,696.52, 7,053.83 and 4,507.20

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Solution

The fourth proportional to 4,696.52, 7,053.83 and 4,507.20 is: 6,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.52 : 7,053.83 = 4,507.20 : x
  2. Step 2: Convert to fraction form
    4,696.52/7,053.83 = 4,507.20/x
  3. Step 3: Cross multiply
    4,696.52x = 7,053.83 × 4,507.20
  4. Step 4: Simplify right side
    4,696.52x = 31,793,022.58
  5. Step 5: Solve for x
    x = 31,793,022.58/4,696.52
  6. Step 6: Final answer
    x = 6,769.49

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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.