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Finding the Fourth Proportional to 5,703.99, 7,865.28 and 3,710.85

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Solution

The fourth proportional to 5,703.99, 7,865.28 and 3,710.85 is: 5,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.99 : 7,865.28 = 3,710.85 : x
  2. Step 2: Convert to fraction form
    5,703.99/7,865.28 = 3,710.85/x
  3. Step 3: Cross multiply
    5,703.99x = 7,865.28 × 3,710.85
  4. Step 4: Simplify right side
    5,703.99x = 29,186,874.29
  5. Step 5: Solve for x
    x = 29,186,874.29/5,703.99
  6. Step 6: Final answer
    x = 5,116.92

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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.