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Finding the Fourth Proportional to 5,166.93, 7,130.39 and 3,071.07

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Solution

The fourth proportional to 5,166.93, 7,130.39 and 3,071.07 is: 4,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.93 : 7,130.39 = 3,071.07 : x
  2. Step 2: Convert to fraction form
    5,166.93/7,130.39 = 3,071.07/x
  3. Step 3: Cross multiply
    5,166.93x = 7,130.39 × 3,071.07
  4. Step 4: Simplify right side
    5,166.93x = 21,897,911.46
  5. Step 5: Solve for x
    x = 21,897,911.46/5,166.93
  6. Step 6: Final answer
    x = 4,238.09

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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.