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Finding the Fourth Proportional to 3,424.56, 4,715.02 and 3,239.98

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Solution

The fourth proportional to 3,424.56, 4,715.02 and 3,239.98 is: 4,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.56 : 4,715.02 = 3,239.98 : x
  2. Step 2: Convert to fraction form
    3,424.56/4,715.02 = 3,239.98/x
  3. Step 3: Cross multiply
    3,424.56x = 4,715.02 × 3,239.98
  4. Step 4: Simplify right side
    3,424.56x = 15,276,570.50
  5. Step 5: Solve for x
    x = 15,276,570.50/3,424.56
  6. Step 6: Final answer
    x = 4,460.89

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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.