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Finding the Fourth Proportional to 5,434.72, 7,501.70 and 3,196.50

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Solution

The fourth proportional to 5,434.72, 7,501.70 and 3,196.50 is: 4,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.72 : 7,501.70 = 3,196.50 : x
  2. Step 2: Convert to fraction form
    5,434.72/7,501.70 = 3,196.50/x
  3. Step 3: Cross multiply
    5,434.72x = 7,501.70 × 3,196.50
  4. Step 4: Simplify right side
    5,434.72x = 23,979,184.05
  5. Step 5: Solve for x
    x = 23,979,184.05/5,434.72
  6. Step 6: Final answer
    x = 4,412.22

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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.