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Finding the Fourth Proportional to 5,703.97, 7,865.26 and 3,710.83

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Solution

The fourth proportional to 5,703.97, 7,865.26 and 3,710.83 is: 5,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.97 : 7,865.26 = 3,710.83 : x
  2. Step 2: Convert to fraction form
    5,703.97/7,865.26 = 3,710.83/x
  3. Step 3: Cross multiply
    5,703.97x = 7,865.26 × 3,710.83
  4. Step 4: Simplify right side
    5,703.97x = 29,186,642.77
  5. Step 5: Solve for x
    x = 29,186,642.77/5,703.97
  6. Step 6: Final answer
    x = 5,116.90

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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.