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Finding the Fourth Proportional to 5,777.16, 8,012.01 and 5,416.31

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Solution

The fourth proportional to 5,777.16, 8,012.01 and 5,416.31 is: 7,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.16 : 8,012.01 = 5,416.31 : x
  2. Step 2: Convert to fraction form
    5,777.16/8,012.01 = 5,416.31/x
  3. Step 3: Cross multiply
    5,777.16x = 8,012.01 × 5,416.31
  4. Step 4: Simplify right side
    5,777.16x = 43,395,489.82
  5. Step 5: Solve for x
    x = 43,395,489.82/5,777.16
  6. Step 6: Final answer
    x = 7,511.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.