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Finding the Fourth Proportional to 4,143.70, 5,717.82 and 2,465.20

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Solution

The fourth proportional to 4,143.70, 5,717.82 and 2,465.20 is: 3,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.70 : 5,717.82 = 2,465.20 : x
  2. Step 2: Convert to fraction form
    4,143.70/5,717.82 = 2,465.20/x
  3. Step 3: Cross multiply
    4,143.70x = 5,717.82 × 2,465.20
  4. Step 4: Simplify right side
    4,143.70x = 14,095,569.86
  5. Step 5: Solve for x
    x = 14,095,569.86/4,143.70
  6. Step 6: Final answer
    x = 3,401.69

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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.