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Finding the Fourth Proportional to 4,940.76, 7,411.14 and 3,411.48

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Solution

The fourth proportional to 4,940.76, 7,411.14 and 3,411.48 is: 5,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.76 : 7,411.14 = 3,411.48 : x
  2. Step 2: Convert to fraction form
    4,940.76/7,411.14 = 3,411.48/x
  3. Step 3: Cross multiply
    4,940.76x = 7,411.14 × 3,411.48
  4. Step 4: Simplify right side
    4,940.76x = 25,282,955.89
  5. Step 5: Solve for x
    x = 25,282,955.89/4,940.76
  6. Step 6: Final answer
    x = 5,117.22

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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.