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Finding the Fourth Proportional to 3,463.04, 4,778.91 and 1,891.10

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Solution

The fourth proportional to 3,463.04, 4,778.91 and 1,891.10 is: 2,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.04 : 4,778.91 = 1,891.10 : x
  2. Step 2: Convert to fraction form
    3,463.04/4,778.91 = 1,891.10/x
  3. Step 3: Cross multiply
    3,463.04x = 4,778.91 × 1,891.10
  4. Step 4: Simplify right side
    3,463.04x = 9,037,372.81
  5. Step 5: Solve for x
    x = 9,037,372.81/3,463.04
  6. Step 6: Final answer
    x = 2,609.67

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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.