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Finding the Fourth Proportional to 5,703.25, 8,549.06 and 3,232.86

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Solution

The fourth proportional to 5,703.25, 8,549.06 and 3,232.86 is: 4,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.25 : 8,549.06 = 3,232.86 : x
  2. Step 2: Convert to fraction form
    5,703.25/8,549.06 = 3,232.86/x
  3. Step 3: Cross multiply
    5,703.25x = 8,549.06 × 3,232.86
  4. Step 4: Simplify right side
    5,703.25x = 27,637,914.11
  5. Step 5: Solve for x
    x = 27,637,914.11/5,703.25
  6. Step 6: Final answer
    x = 4,845.99

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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.