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Finding the Fourth Proportional to 4,946.14, 7,420.42 and 3,488.14

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Solution

The fourth proportional to 4,946.14, 7,420.42 and 3,488.14 is: 5,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.14 : 7,420.42 = 3,488.14 : x
  2. Step 2: Convert to fraction form
    4,946.14/7,420.42 = 3,488.14/x
  3. Step 3: Cross multiply
    4,946.14x = 7,420.42 × 3,488.14
  4. Step 4: Simplify right side
    4,946.14x = 25,883,463.82
  5. Step 5: Solve for x
    x = 25,883,463.82/4,946.14
  6. Step 6: Final answer
    x = 5,233.06

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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.