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Finding the Fourth Proportional to 5,497.13, 7,585.97 and 2,979.24

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Solution

The fourth proportional to 5,497.13, 7,585.97 and 2,979.24 is: 4,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.13 : 7,585.97 = 2,979.24 : x
  2. Step 2: Convert to fraction form
    5,497.13/7,585.97 = 2,979.24/x
  3. Step 3: Cross multiply
    5,497.13x = 7,585.97 × 2,979.24
  4. Step 4: Simplify right side
    5,497.13x = 22,600,410.37
  5. Step 5: Solve for x
    x = 22,600,410.37/5,497.13
  6. Step 6: Final answer
    x = 4,111.31

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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.