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Finding the Fourth Proportional to 7,351.54, 10,146 and 4,208.74

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Solution

The fourth proportional to 7,351.54, 10,146 and 4,208.74 is: 5,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.54 : 10,146 = 4,208.74 : x
  2. Step 2: Convert to fraction form
    7,351.54/10,146 = 4,208.74/x
  3. Step 3: Cross multiply
    7,351.54x = 10,146 × 4,208.74
  4. Step 4: Simplify right side
    7,351.54x = 42,701,876.04
  5. Step 5: Solve for x
    x = 42,701,876.04/7,351.54
  6. Step 6: Final answer
    x = 5,808.56

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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.