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Finding the Fourth Proportional to 5,648.96, 8,467.14 and 2,359.82

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Solution

The fourth proportional to 5,648.96, 8,467.14 and 2,359.82 is: 3,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.96 : 8,467.14 = 2,359.82 : x
  2. Step 2: Convert to fraction form
    5,648.96/8,467.14 = 2,359.82/x
  3. Step 3: Cross multiply
    5,648.96x = 8,467.14 × 2,359.82
  4. Step 4: Simplify right side
    5,648.96x = 19,980,926.31
  5. Step 5: Solve for x
    x = 19,980,926.31/5,648.96
  6. Step 6: Final answer
    x = 3,537.10

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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.