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Finding the Fourth Proportional to 5,703.69, 7,871.13 and 3,345.86

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Solution

The fourth proportional to 5,703.69, 7,871.13 and 3,345.86 is: 4,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.69 : 7,871.13 = 3,345.86 : x
  2. Step 2: Convert to fraction form
    5,703.69/7,871.13 = 3,345.86/x
  3. Step 3: Cross multiply
    5,703.69x = 7,871.13 × 3,345.86
  4. Step 4: Simplify right side
    5,703.69x = 26,335,659.67
  5. Step 5: Solve for x
    x = 26,335,659.67/5,703.69
  6. Step 6: Final answer
    x = 4,617.30

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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.