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Finding the Fourth Proportional to 4,141.84, 5,715.32 and 2,349.40

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Solution

The fourth proportional to 4,141.84, 5,715.32 and 2,349.40 is: 3,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.84 : 5,715.32 = 2,349.40 : x
  2. Step 2: Convert to fraction form
    4,141.84/5,715.32 = 2,349.40/x
  3. Step 3: Cross multiply
    4,141.84x = 5,715.32 × 2,349.40
  4. Step 4: Simplify right side
    4,141.84x = 13,427,572.81
  5. Step 5: Solve for x
    x = 13,427,572.81/4,141.84
  6. Step 6: Final answer
    x = 3,241.93

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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.