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Finding the Fourth Proportional to 5,754.94, 7,922.23 and 4,260.04

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Solution

The fourth proportional to 5,754.94, 7,922.23 and 4,260.04 is: 5,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.94 : 7,922.23 = 4,260.04 : x
  2. Step 2: Convert to fraction form
    5,754.94/7,922.23 = 4,260.04/x
  3. Step 3: Cross multiply
    5,754.94x = 7,922.23 × 4,260.04
  4. Step 4: Simplify right side
    5,754.94x = 33,748,986.23
  5. Step 5: Solve for x
    x = 33,748,986.23/5,754.94
  6. Step 6: Final answer
    x = 5,864.35

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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.