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Finding the Fourth Proportional to 5,693.40, 8,547.02 and 3,229.92

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Solution

The fourth proportional to 5,693.40, 8,547.02 and 3,229.92 is: 4,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.40 : 8,547.02 = 3,229.92 : x
  2. Step 2: Convert to fraction form
    5,693.40/8,547.02 = 3,229.92/x
  3. Step 3: Cross multiply
    5,693.40x = 8,547.02 × 3,229.92
  4. Step 4: Simplify right side
    5,693.40x = 27,606,190.84
  5. Step 5: Solve for x
    x = 27,606,190.84/5,693.40
  6. Step 6: Final answer
    x = 4,848.81

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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.