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Finding the Fourth Proportional to 5,136.08, 7,700.32 and 1,803.44

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Solution

The fourth proportional to 5,136.08, 7,700.32 and 1,803.44 is: 2,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.08 : 7,700.32 = 1,803.44 : x
  2. Step 2: Convert to fraction form
    5,136.08/7,700.32 = 1,803.44/x
  3. Step 3: Cross multiply
    5,136.08x = 7,700.32 × 1,803.44
  4. Step 4: Simplify right side
    5,136.08x = 13,887,065.10
  5. Step 5: Solve for x
    x = 13,887,065.10/5,136.08
  6. Step 6: Final answer
    x = 2,703.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.