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Finding the Fourth Proportional to 3,497.96, 5,245.32 and 1,305.11

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Solution

The fourth proportional to 3,497.96, 5,245.32 and 1,305.11 is: 1,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.96 : 5,245.32 = 1,305.11 : x
  2. Step 2: Convert to fraction form
    3,497.96/5,245.32 = 1,305.11/x
  3. Step 3: Cross multiply
    3,497.96x = 5,245.32 × 1,305.11
  4. Step 4: Simplify right side
    3,497.96x = 6,845,719.59
  5. Step 5: Solve for x
    x = 6,845,719.59/3,497.96
  6. Step 6: Final answer
    x = 1,957.06

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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.