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Finding the Fourth Proportional to 5,214.50, 7,196.02 and 3,006.50

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Solution

The fourth proportional to 5,214.50, 7,196.02 and 3,006.50 is: 4,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.50 : 7,196.02 = 3,006.50 : x
  2. Step 2: Convert to fraction form
    5,214.50/7,196.02 = 3,006.50/x
  3. Step 3: Cross multiply
    5,214.50x = 7,196.02 × 3,006.50
  4. Step 4: Simplify right side
    5,214.50x = 21,634,834.13
  5. Step 5: Solve for x
    x = 21,634,834.13/5,214.50
  6. Step 6: Final answer
    x = 4,148.98

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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.