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Finding the Fourth Proportional to 3,463.76, 4,778.19 and 2,345.11

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Solution

The fourth proportional to 3,463.76, 4,778.19 and 2,345.11 is: 3,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.76 : 4,778.19 = 2,345.11 : x
  2. Step 2: Convert to fraction form
    3,463.76/4,778.19 = 2,345.11/x
  3. Step 3: Cross multiply
    3,463.76x = 4,778.19 × 2,345.11
  4. Step 4: Simplify right side
    3,463.76x = 11,205,369.21
  5. Step 5: Solve for x
    x = 11,205,369.21/3,463.76
  6. Step 6: Final answer
    x = 3,235.03

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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.