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Finding the Fourth Proportional to 5,614.95, 7,749.16 and 3,225.26

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Solution

The fourth proportional to 5,614.95, 7,749.16 and 3,225.26 is: 4,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.95 : 7,749.16 = 3,225.26 : x
  2. Step 2: Convert to fraction form
    5,614.95/7,749.16 = 3,225.26/x
  3. Step 3: Cross multiply
    5,614.95x = 7,749.16 × 3,225.26
  4. Step 4: Simplify right side
    5,614.95x = 24,993,055.78
  5. Step 5: Solve for x
    x = 24,993,055.78/5,614.95
  6. Step 6: Final answer
    x = 4,451.16

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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.