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Finding the Fourth Proportional to 5,212.05, 7,196.00 and 4,651.56

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Solution

The fourth proportional to 5,212.05, 7,196.00 and 4,651.56 is: 6,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.05 : 7,196.00 = 4,651.56 : x
  2. Step 2: Convert to fraction form
    5,212.05/7,196.00 = 4,651.56/x
  3. Step 3: Cross multiply
    5,212.05x = 7,196.00 × 4,651.56
  4. Step 4: Simplify right side
    5,212.05x = 33,472,602.50
  5. Step 5: Solve for x
    x = 33,472,602.50/5,212.05
  6. Step 6: Final answer
    x = 6,422.16

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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.