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Finding the Fourth Proportional to 4,948.07, 7,424.01 and 3,638.39

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Solution

The fourth proportional to 4,948.07, 7,424.01 and 3,638.39 is: 5,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.07 : 7,424.01 = 3,638.39 : x
  2. Step 2: Convert to fraction form
    4,948.07/7,424.01 = 3,638.39/x
  3. Step 3: Cross multiply
    4,948.07x = 7,424.01 × 3,638.39
  4. Step 4: Simplify right side
    4,948.07x = 27,011,406.62
  5. Step 5: Solve for x
    x = 27,011,406.62/4,948.07
  6. Step 6: Final answer
    x = 5,458.98

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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.