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Finding the Fourth Proportional to 3,937.39, 5,906.39 and 1,164.00

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Solution

The fourth proportional to 3,937.39, 5,906.39 and 1,164.00 is: 1,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.39 : 5,906.39 = 1,164.00 : x
  2. Step 2: Convert to fraction form
    3,937.39/5,906.39 = 1,164.00/x
  3. Step 3: Cross multiply
    3,937.39x = 5,906.39 × 1,164.00
  4. Step 4: Simplify right side
    3,937.39x = 6,875,054.29
  5. Step 5: Solve for x
    x = 6,875,054.29/3,937.39
  6. Step 6: Final answer
    x = 1,746.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.