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Finding the Fourth Proportional to 5,484.51, 8,207.63 and 3,926.27

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Solution

The fourth proportional to 5,484.51, 8,207.63 and 3,926.27 is: 5,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.51 : 8,207.63 = 3,926.27 : x
  2. Step 2: Convert to fraction form
    5,484.51/8,207.63 = 3,926.27/x
  3. Step 3: Cross multiply
    5,484.51x = 8,207.63 × 3,926.27
  4. Step 4: Simplify right side
    5,484.51x = 32,225,387.05
  5. Step 5: Solve for x
    x = 32,225,387.05/5,484.51
  6. Step 6: Final answer
    x = 5,875.71

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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.