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Finding the Fourth Proportional to 5,228.99, 7,211.81 and 4,598.22

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Solution

The fourth proportional to 5,228.99, 7,211.81 and 4,598.22 is: 6,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.99 : 7,211.81 = 4,598.22 : x
  2. Step 2: Convert to fraction form
    5,228.99/7,211.81 = 4,598.22/x
  3. Step 3: Cross multiply
    5,228.99x = 7,211.81 × 4,598.22
  4. Step 4: Simplify right side
    5,228.99x = 33,161,500.47
  5. Step 5: Solve for x
    x = 33,161,500.47/5,228.99
  6. Step 6: Final answer
    x = 6,341.86

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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.