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Finding the Fourth Proportional to 5,700.69, 7,864.02 and 3,341.25

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Solution

The fourth proportional to 5,700.69, 7,864.02 and 3,341.25 is: 4,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.69 : 7,864.02 = 3,341.25 : x
  2. Step 2: Convert to fraction form
    5,700.69/7,864.02 = 3,341.25/x
  3. Step 3: Cross multiply
    5,700.69x = 7,864.02 × 3,341.25
  4. Step 4: Simplify right side
    5,700.69x = 26,275,656.83
  5. Step 5: Solve for x
    x = 26,275,656.83/5,700.69
  6. Step 6: Final answer
    x = 4,609.21

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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.