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Finding the Fourth Proportional to 5,354.61, 8,026.16 and 2,232.26

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Solution

The fourth proportional to 5,354.61, 8,026.16 and 2,232.26 is: 3,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.61 : 8,026.16 = 2,232.26 : x
  2. Step 2: Convert to fraction form
    5,354.61/8,026.16 = 2,232.26/x
  3. Step 3: Cross multiply
    5,354.61x = 8,026.16 × 2,232.26
  4. Step 4: Simplify right side
    5,354.61x = 17,916,473.56
  5. Step 5: Solve for x
    x = 17,916,473.56/5,354.61
  6. Step 6: Final answer
    x = 3,345.99

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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.