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Finding the Fourth Proportional to 5,362.56, 7,400.31 and 3,004.71

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Solution

The fourth proportional to 5,362.56, 7,400.31 and 3,004.71 is: 4,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.56 : 7,400.31 = 3,004.71 : x
  2. Step 2: Convert to fraction form
    5,362.56/7,400.31 = 3,004.71/x
  3. Step 3: Cross multiply
    5,362.56x = 7,400.31 × 3,004.71
  4. Step 4: Simplify right side
    5,362.56x = 22,235,785.46
  5. Step 5: Solve for x
    x = 22,235,785.46/5,362.56
  6. Step 6: Final answer
    x = 4,146.49

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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.