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Finding the Fourth Proportional to 3,474.94, 4,802.92 and 3,073.77

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Solution

The fourth proportional to 3,474.94, 4,802.92 and 3,073.77 is: 4,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.94 : 4,802.92 = 3,073.77 : x
  2. Step 2: Convert to fraction form
    3,474.94/4,802.92 = 3,073.77/x
  3. Step 3: Cross multiply
    3,474.94x = 4,802.92 × 3,073.77
  4. Step 4: Simplify right side
    3,474.94x = 14,763,059.40
  5. Step 5: Solve for x
    x = 14,763,059.40/3,474.94
  6. Step 6: Final answer
    x = 4,248.43

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1.5x scale

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.