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Finding the Fourth Proportional to 5,588.93, 7,712.73 and 3,071.23

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Solution

The fourth proportional to 5,588.93, 7,712.73 and 3,071.23 is: 4,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.93 : 7,712.73 = 3,071.23 : x
  2. Step 2: Convert to fraction form
    5,588.93/7,712.73 = 3,071.23/x
  3. Step 3: Cross multiply
    5,588.93x = 7,712.73 × 3,071.23
  4. Step 4: Simplify right side
    5,588.93x = 23,687,567.76
  5. Step 5: Solve for x
    x = 23,687,567.76/5,588.93
  6. Step 6: Final answer
    x = 4,238.30

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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.