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Finding the Fourth Proportional to 5,732.65, 7,905.63 and 3,842.11

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Solution

The fourth proportional to 5,732.65, 7,905.63 and 3,842.11 is: 5,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.65 : 7,905.63 = 3,842.11 : x
  2. Step 2: Convert to fraction form
    5,732.65/7,905.63 = 3,842.11/x
  3. Step 3: Cross multiply
    5,732.65x = 7,905.63 × 3,842.11
  4. Step 4: Simplify right side
    5,732.65x = 30,374,300.08
  5. Step 5: Solve for x
    x = 30,374,300.08/5,732.65
  6. Step 6: Final answer
    x = 5,298.47

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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.