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Finding the Fourth Proportional to 5,337, 7,365.06 and 2,979.15

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Solution

The fourth proportional to 5,337, 7,365.06 and 2,979.15 is: 4,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337 : 7,365.06 = 2,979.15 : x
  2. Step 2: Convert to fraction form
    5,337/7,365.06 = 2,979.15/x
  3. Step 3: Cross multiply
    5,337x = 7,365.06 × 2,979.15
  4. Step 4: Simplify right side
    5,337x = 21,941,590.88
  5. Step 5: Solve for x
    x = 21,941,590.88/5,337
  6. Step 6: Final answer
    x = 4,111.22

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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.