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Finding the Fourth Proportional to 5,338.24, 7,371.84 and 5,047.36

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Solution

The fourth proportional to 5,338.24, 7,371.84 and 5,047.36 is: 6,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.24 : 7,371.84 = 5,047.36 : x
  2. Step 2: Convert to fraction form
    5,338.24/7,371.84 = 5,047.36/x
  3. Step 3: Cross multiply
    5,338.24x = 7,371.84 × 5,047.36
  4. Step 4: Simplify right side
    5,338.24x = 37,208,330.34
  5. Step 5: Solve for x
    x = 37,208,330.34/5,338.24
  6. Step 6: Final answer
    x = 6,970.15

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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.