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Finding the Fourth Proportional to 5,697.99, 7,858.77 and 3,709.18

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Solution

The fourth proportional to 5,697.99, 7,858.77 and 3,709.18 is: 5,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.99 : 7,858.77 = 3,709.18 : x
  2. Step 2: Convert to fraction form
    5,697.99/7,858.77 = 3,709.18/x
  3. Step 3: Cross multiply
    5,697.99x = 7,858.77 × 3,709.18
  4. Step 4: Simplify right side
    5,697.99x = 29,149,592.51
  5. Step 5: Solve for x
    x = 29,149,592.51/5,697.99
  6. Step 6: Final answer
    x = 5,115.77

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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.