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Finding the Fourth Proportional to 5,365.31, 7,404.01 and 3,007.40

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Solution

The fourth proportional to 5,365.31, 7,404.01 and 3,007.40 is: 4,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.31 : 7,404.01 = 3,007.40 : x
  2. Step 2: Convert to fraction form
    5,365.31/7,404.01 = 3,007.40/x
  3. Step 3: Cross multiply
    5,365.31x = 7,404.01 × 3,007.40
  4. Step 4: Simplify right side
    5,365.31x = 22,266,775.14
  5. Step 5: Solve for x
    x = 22,266,775.14/5,365.31
  6. Step 6: Final answer
    x = 4,150.14

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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.