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Finding the Fourth Proportional to 3,484.47, 5,227.38 and 1,536.65

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Solution

The fourth proportional to 3,484.47, 5,227.38 and 1,536.65 is: 2,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.47 : 5,227.38 = 1,536.65 : x
  2. Step 2: Convert to fraction form
    3,484.47/5,227.38 = 1,536.65/x
  3. Step 3: Cross multiply
    3,484.47x = 5,227.38 × 1,536.65
  4. Step 4: Simplify right side
    3,484.47x = 8,032,627.34
  5. Step 5: Solve for x
    x = 8,032,627.34/3,484.47
  6. Step 6: Final answer
    x = 2,305.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.