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Finding the Fourth Proportional to 5,362.57, 7,400.76 and 3,094.31

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Solution

The fourth proportional to 5,362.57, 7,400.76 and 3,094.31 is: 4,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.57 : 7,400.76 = 3,094.31 : x
  2. Step 2: Convert to fraction form
    5,362.57/7,400.76 = 3,094.31/x
  3. Step 3: Cross multiply
    5,362.57x = 7,400.76 × 3,094.31
  4. Step 4: Simplify right side
    5,362.57x = 22,900,252.57
  5. Step 5: Solve for x
    x = 22,900,252.57/5,362.57
  6. Step 6: Final answer
    x = 4,270.39

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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.