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Finding the Fourth Proportional to 3,491.05, 5,237.63 and 1,269.84

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Solution

The fourth proportional to 3,491.05, 5,237.63 and 1,269.84 is: 1,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.05 : 5,237.63 = 1,269.84 : x
  2. Step 2: Convert to fraction form
    3,491.05/5,237.63 = 1,269.84/x
  3. Step 3: Cross multiply
    3,491.05x = 5,237.63 × 1,269.84
  4. Step 4: Simplify right side
    3,491.05x = 6,650,970.13
  5. Step 5: Solve for x
    x = 6,650,970.13/3,491.05
  6. Step 6: Final answer
    x = 1,905.15

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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.