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Finding the Fourth Proportional to 5,306.48, 7,964.04 and 2,710.16

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Solution

The fourth proportional to 5,306.48, 7,964.04 and 2,710.16 is: 4,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.48 : 7,964.04 = 2,710.16 : x
  2. Step 2: Convert to fraction form
    5,306.48/7,964.04 = 2,710.16/x
  3. Step 3: Cross multiply
    5,306.48x = 7,964.04 × 2,710.16
  4. Step 4: Simplify right side
    5,306.48x = 21,583,822.65
  5. Step 5: Solve for x
    x = 21,583,822.65/5,306.48
  6. Step 6: Final answer
    x = 4,067.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.