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Finding the Fourth Proportional to 5,588.83, 7,712.73 and 3,071

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Solution

The fourth proportional to 5,588.83, 7,712.73 and 3,071 is: 4,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.83 : 7,712.73 = 3,071 : x
  2. Step 2: Convert to fraction form
    5,588.83/7,712.73 = 3,071/x
  3. Step 3: Cross multiply
    5,588.83x = 7,712.73 × 3,071
  4. Step 4: Simplify right side
    5,588.83x = 23,685,793.83
  5. Step 5: Solve for x
    x = 23,685,793.83/5,588.83
  6. Step 6: Final answer
    x = 4,238.06

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1.5x scale

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.