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Finding the Fourth Proportional to 7,052, 9,731.76 and 3,908.39

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Solution

The fourth proportional to 7,052, 9,731.76 and 3,908.39 is: 5,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052 : 9,731.76 = 3,908.39 : x
  2. Step 2: Convert to fraction form
    7,052/9,731.76 = 3,908.39/x
  3. Step 3: Cross multiply
    7,052x = 9,731.76 × 3,908.39
  4. Step 4: Simplify right side
    7,052x = 38,035,513.47
  5. Step 5: Solve for x
    x = 38,035,513.47/7,052
  6. Step 6: Final answer
    x = 5,393.58

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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.