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Finding the Fourth Proportional to 3,472.71, 4,792.32 and 1,900.77

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Solution

The fourth proportional to 3,472.71, 4,792.32 and 1,900.77 is: 2,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.71 : 4,792.32 = 1,900.77 : x
  2. Step 2: Convert to fraction form
    3,472.71/4,792.32 = 1,900.77/x
  3. Step 3: Cross multiply
    3,472.71x = 4,792.32 × 1,900.77
  4. Step 4: Simplify right side
    3,472.71x = 9,109,098.09
  5. Step 5: Solve for x
    x = 9,109,098.09/3,472.71
  6. Step 6: Final answer
    x = 2,623.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.