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Finding the Fourth Proportional to 4,659.84, 6,427.12 and 3,381.90

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Solution

The fourth proportional to 4,659.84, 6,427.12 and 3,381.90 is: 4,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.84 : 6,427.12 = 3,381.90 : x
  2. Step 2: Convert to fraction form
    4,659.84/6,427.12 = 3,381.90/x
  3. Step 3: Cross multiply
    4,659.84x = 6,427.12 × 3,381.90
  4. Step 4: Simplify right side
    4,659.84x = 21,735,877.13
  5. Step 5: Solve for x
    x = 21,735,877.13/4,659.84
  6. Step 6: Final answer
    x = 4,664.51

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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.