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Finding the Fourth Proportional to 5,754.36, 7,941.10 and 4,496.88

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Solution

The fourth proportional to 5,754.36, 7,941.10 and 4,496.88 is: 6,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.36 : 7,941.10 = 4,496.88 : x
  2. Step 2: Convert to fraction form
    5,754.36/7,941.10 = 4,496.88/x
  3. Step 3: Cross multiply
    5,754.36x = 7,941.10 × 4,496.88
  4. Step 4: Simplify right side
    5,754.36x = 35,710,173.77
  5. Step 5: Solve for x
    x = 35,710,173.77/5,754.36
  6. Step 6: Final answer
    x = 6,205.76

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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.