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Finding the Fourth Proportional to 3,491.68, 5,235.84 and 2,031.28

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Solution

The fourth proportional to 3,491.68, 5,235.84 and 2,031.28 is: 3,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.68 : 5,235.84 = 2,031.28 : x
  2. Step 2: Convert to fraction form
    3,491.68/5,235.84 = 2,031.28/x
  3. Step 3: Cross multiply
    3,491.68x = 5,235.84 × 2,031.28
  4. Step 4: Simplify right side
    3,491.68x = 10,635,457.08
  5. Step 5: Solve for x
    x = 10,635,457.08/3,491.68
  6. Step 6: Final answer
    x = 3,045.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.