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Finding the Fourth Proportional to 5,370.78, 7,411.84 and 3,013.08

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Solution

The fourth proportional to 5,370.78, 7,411.84 and 3,013.08 is: 4,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.78 : 7,411.84 = 3,013.08 : x
  2. Step 2: Convert to fraction form
    5,370.78/7,411.84 = 3,013.08/x
  3. Step 3: Cross multiply
    5,370.78x = 7,411.84 × 3,013.08
  4. Step 4: Simplify right side
    5,370.78x = 22,332,466.87
  5. Step 5: Solve for x
    x = 22,332,466.87/5,370.78
  6. Step 6: Final answer
    x = 4,158.14

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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.