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Finding the Fourth Proportional to 4,952.43, 6,834.22 and 2,798.77

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Solution

The fourth proportional to 4,952.43, 6,834.22 and 2,798.77 is: 3,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.43 : 6,834.22 = 2,798.77 : x
  2. Step 2: Convert to fraction form
    4,952.43/6,834.22 = 2,798.77/x
  3. Step 3: Cross multiply
    4,952.43x = 6,834.22 × 2,798.77
  4. Step 4: Simplify right side
    4,952.43x = 19,127,409.91
  5. Step 5: Solve for x
    x = 19,127,409.91/4,952.43
  6. Step 6: Final answer
    x = 3,862.23

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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.