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Finding the Fourth Proportional to 4,216.91, 5,816.10 and 3,225.47

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Solution

The fourth proportional to 4,216.91, 5,816.10 and 3,225.47 is: 4,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.91 : 5,816.10 = 3,225.47 : x
  2. Step 2: Convert to fraction form
    4,216.91/5,816.10 = 3,225.47/x
  3. Step 3: Cross multiply
    4,216.91x = 5,816.10 × 3,225.47
  4. Step 4: Simplify right side
    4,216.91x = 18,759,656.07
  5. Step 5: Solve for x
    x = 18,759,656.07/4,216.91
  6. Step 6: Final answer
    x = 4,448.67

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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.