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Finding the Fourth Proportional to 3,053.52, 4,596.84 and 2,736

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Solution

The fourth proportional to 3,053.52, 4,596.84 and 2,736 is: 4,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.52 : 4,596.84 = 2,736 : x
  2. Step 2: Convert to fraction form
    3,053.52/4,596.84 = 2,736/x
  3. Step 3: Cross multiply
    3,053.52x = 4,596.84 × 2,736
  4. Step 4: Simplify right side
    3,053.52x = 12,576,954.24
  5. Step 5: Solve for x
    x = 12,576,954.24/3,053.52
  6. Step 6: Final answer
    x = 4,118.84

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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.