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Finding the Fourth Proportional to 5,206.59, 7,803.09 and 4,546.90

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Solution

The fourth proportional to 5,206.59, 7,803.09 and 4,546.90 is: 6,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.59 : 7,803.09 = 4,546.90 : x
  2. Step 2: Convert to fraction form
    5,206.59/7,803.09 = 4,546.90/x
  3. Step 3: Cross multiply
    5,206.59x = 7,803.09 × 4,546.90
  4. Step 4: Simplify right side
    5,206.59x = 35,479,869.92
  5. Step 5: Solve for x
    x = 35,479,869.92/5,206.59
  6. Step 6: Final answer
    x = 6,814.42

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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.