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Finding the Fourth Proportional to 5,699.72, 7,864.34 and 3,462.28

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Solution

The fourth proportional to 5,699.72, 7,864.34 and 3,462.28 is: 4,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.72 : 7,864.34 = 3,462.28 : x
  2. Step 2: Convert to fraction form
    5,699.72/7,864.34 = 3,462.28/x
  3. Step 3: Cross multiply
    5,699.72x = 7,864.34 × 3,462.28
  4. Step 4: Simplify right side
    5,699.72x = 27,228,510.12
  5. Step 5: Solve for x
    x = 27,228,510.12/5,699.72
  6. Step 6: Final answer
    x = 4,777.16

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1.5x scale

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.