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Finding the Fourth Proportional to 3,693.34, 5,097.35 and 2,434.19

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Solution

The fourth proportional to 3,693.34, 5,097.35 and 2,434.19 is: 3,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.34 : 5,097.35 = 2,434.19 : x
  2. Step 2: Convert to fraction form
    3,693.34/5,097.35 = 2,434.19/x
  3. Step 3: Cross multiply
    3,693.34x = 5,097.35 × 2,434.19
  4. Step 4: Simplify right side
    3,693.34x = 12,407,918.40
  5. Step 5: Solve for x
    x = 12,407,918.40/3,693.34
  6. Step 6: Final answer
    x = 3,359.54

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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.