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Finding the Fourth Proportional to 5,339, 7,976.08 and 4,464.20

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Solution

The fourth proportional to 5,339, 7,976.08 and 4,464.20 is: 6,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339 : 7,976.08 = 4,464.20 : x
  2. Step 2: Convert to fraction form
    5,339/7,976.08 = 4,464.20/x
  3. Step 3: Cross multiply
    5,339x = 7,976.08 × 4,464.20
  4. Step 4: Simplify right side
    5,339x = 35,606,816.34
  5. Step 5: Solve for x
    x = 35,606,816.34/5,339
  6. Step 6: Final answer
    x = 6,669.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.