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Finding the Fourth Proportional to 5,044.93, 6,962.03 and 3,054.07

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Solution

The fourth proportional to 5,044.93, 6,962.03 and 3,054.07 is: 4,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.93 : 6,962.03 = 3,054.07 : x
  2. Step 2: Convert to fraction form
    5,044.93/6,962.03 = 3,054.07/x
  3. Step 3: Cross multiply
    5,044.93x = 6,962.03 × 3,054.07
  4. Step 4: Simplify right side
    5,044.93x = 21,262,549.03
  5. Step 5: Solve for x
    x = 21,262,549.03/5,044.93
  6. Step 6: Final answer
    x = 4,214.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.