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Finding the Fourth Proportional to 3,937.47, 5,906.76 and 1,164.36

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Solution

The fourth proportional to 3,937.47, 5,906.76 and 1,164.36 is: 1,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.47 : 5,906.76 = 1,164.36 : x
  2. Step 2: Convert to fraction form
    3,937.47/5,906.76 = 1,164.36/x
  3. Step 3: Cross multiply
    3,937.47x = 5,906.76 × 1,164.36
  4. Step 4: Simplify right side
    3,937.47x = 6,877,595.07
  5. Step 5: Solve for x
    x = 6,877,595.07/3,937.47
  6. Step 6: Final answer
    x = 1,746.70

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