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Finding the Fourth Proportional to 4,344.84, 5,992 and 3,411.72

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Solution

The fourth proportional to 4,344.84, 5,992 and 3,411.72 is: 4,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.84 : 5,992 = 3,411.72 : x
  2. Step 2: Convert to fraction form
    4,344.84/5,992 = 3,411.72/x
  3. Step 3: Cross multiply
    4,344.84x = 5,992 × 3,411.72
  4. Step 4: Simplify right side
    4,344.84x = 20,443,026.24
  5. Step 5: Solve for x
    x = 20,443,026.24/4,344.84
  6. Step 6: Final answer
    x = 4,705.13

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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.