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Finding the Fourth Proportional to 3,363.93, 5,044.16 and 1,513.47

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Solution

The fourth proportional to 3,363.93, 5,044.16 and 1,513.47 is: 2,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.93 : 5,044.16 = 1,513.47 : x
  2. Step 2: Convert to fraction form
    3,363.93/5,044.16 = 1,513.47/x
  3. Step 3: Cross multiply
    3,363.93x = 5,044.16 × 1,513.47
  4. Step 4: Simplify right side
    3,363.93x = 7,634,184.84
  5. Step 5: Solve for x
    x = 7,634,184.84/3,363.93
  6. Step 6: Final answer
    x = 2,269.42

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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.