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Finding the Fourth Proportional to 3,411.84, 4,705.82 and 2,349.95

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Solution

The fourth proportional to 3,411.84, 4,705.82 and 2,349.95 is: 3,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.84 : 4,705.82 = 2,349.95 : x
  2. Step 2: Convert to fraction form
    3,411.84/4,705.82 = 2,349.95/x
  3. Step 3: Cross multiply
    3,411.84x = 4,705.82 × 2,349.95
  4. Step 4: Simplify right side
    3,411.84x = 11,058,441.71
  5. Step 5: Solve for x
    x = 11,058,441.71/3,411.84
  6. Step 6: Final answer
    x = 3,241.20

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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.