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Finding the Fourth Proportional to 3,804.10, 5,711.55 and 2,346.10

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Solution

The fourth proportional to 3,804.10, 5,711.55 and 2,346.10 is: 3,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.10 : 5,711.55 = 2,346.10 : x
  2. Step 2: Convert to fraction form
    3,804.10/5,711.55 = 2,346.10/x
  3. Step 3: Cross multiply
    3,804.10x = 5,711.55 × 2,346.10
  4. Step 4: Simplify right side
    3,804.10x = 13,399,867.46
  5. Step 5: Solve for x
    x = 13,399,867.46/3,804.10
  6. Step 6: Final answer
    x = 3,522.48

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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.