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Finding the Fourth Proportional to 4,693, 7,029.10 and 3,044.52

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Solution

The fourth proportional to 4,693, 7,029.10 and 3,044.52 is: 4,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693 : 7,029.10 = 3,044.52 : x
  2. Step 2: Convert to fraction form
    4,693/7,029.10 = 3,044.52/x
  3. Step 3: Cross multiply
    4,693x = 7,029.10 × 3,044.52
  4. Step 4: Simplify right side
    4,693x = 21,400,235.53
  5. Step 5: Solve for x
    x = 21,400,235.53/4,693
  6. Step 6: Final answer
    x = 4,560.03

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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.