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Finding the Fourth Proportional to 4,932.06, 6,803.55 and 3,136.20

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Solution

The fourth proportional to 4,932.06, 6,803.55 and 3,136.20 is: 4,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.06 : 6,803.55 = 3,136.20 : x
  2. Step 2: Convert to fraction form
    4,932.06/6,803.55 = 3,136.20/x
  3. Step 3: Cross multiply
    4,932.06x = 6,803.55 × 3,136.20
  4. Step 4: Simplify right side
    4,932.06x = 21,337,293.51
  5. Step 5: Solve for x
    x = 21,337,293.51/4,932.06
  6. Step 6: Final answer
    x = 4,326.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.