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Finding the Fourth Proportional to 5,148.81, 7,722 and 2,225.52

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Solution

The fourth proportional to 5,148.81, 7,722 and 2,225.52 is: 3,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.81 : 7,722 = 2,225.52 : x
  2. Step 2: Convert to fraction form
    5,148.81/7,722 = 2,225.52/x
  3. Step 3: Cross multiply
    5,148.81x = 7,722 × 2,225.52
  4. Step 4: Simplify right side
    5,148.81x = 17,185,465.44
  5. Step 5: Solve for x
    x = 17,185,465.44/5,148.81
  6. Step 6: Final answer
    x = 3,337.75

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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.