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Finding the Fourth Proportional to 5,597.66, 7,722.60 and 3,238.94

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Solution

The fourth proportional to 5,597.66, 7,722.60 and 3,238.94 is: 4,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.66 : 7,722.60 = 3,238.94 : x
  2. Step 2: Convert to fraction form
    5,597.66/7,722.60 = 3,238.94/x
  3. Step 3: Cross multiply
    5,597.66x = 7,722.60 × 3,238.94
  4. Step 4: Simplify right side
    5,597.66x = 25,013,038.04
  5. Step 5: Solve for x
    x = 25,013,038.04/5,597.66
  6. Step 6: Final answer
    x = 4,468.48

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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.