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Finding the Fourth Proportional to 5,044.51, 6,962.04 and 3,055.76

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Solution

The fourth proportional to 5,044.51, 6,962.04 and 3,055.76 is: 4,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.51 : 6,962.04 = 3,055.76 : x
  2. Step 2: Convert to fraction form
    5,044.51/6,962.04 = 3,055.76/x
  3. Step 3: Cross multiply
    5,044.51x = 6,962.04 × 3,055.76
  4. Step 4: Simplify right side
    5,044.51x = 21,274,323.35
  5. Step 5: Solve for x
    x = 21,274,323.35/5,044.51
  6. Step 6: Final answer
    x = 4,217.32

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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.