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Finding the Fourth Proportional to 5,908.65, 8,153.96 and 3,256.00

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Solution

The fourth proportional to 5,908.65, 8,153.96 and 3,256.00 is: 4,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.65 : 8,153.96 = 3,256.00 : x
  2. Step 2: Convert to fraction form
    5,908.65/8,153.96 = 3,256.00/x
  3. Step 3: Cross multiply
    5,908.65x = 8,153.96 × 3,256.00
  4. Step 4: Simplify right side
    5,908.65x = 26,549,257.10
  5. Step 5: Solve for x
    x = 26,549,257.10/5,908.65
  6. Step 6: Final answer
    x = 4,493.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.