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Finding the Fourth Proportional to 5,835.75, 8,050.79 and 3,710.15

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Solution

The fourth proportional to 5,835.75, 8,050.79 and 3,710.15 is: 5,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.75 : 8,050.79 = 3,710.15 : x
  2. Step 2: Convert to fraction form
    5,835.75/8,050.79 = 3,710.15/x
  3. Step 3: Cross multiply
    5,835.75x = 8,050.79 × 3,710.15
  4. Step 4: Simplify right side
    5,835.75x = 29,869,579.71
  5. Step 5: Solve for x
    x = 29,869,579.71/5,835.75
  6. Step 6: Final answer
    x = 5,118.38

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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.