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Finding the Fourth Proportional to 5,266, 7,899.06 and 1,803.52

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Solution

The fourth proportional to 5,266, 7,899.06 and 1,803.52 is: 2,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266 : 7,899.06 = 1,803.52 : x
  2. Step 2: Convert to fraction form
    5,266/7,899.06 = 1,803.52/x
  3. Step 3: Cross multiply
    5,266x = 7,899.06 × 1,803.52
  4. Step 4: Simplify right side
    5,266x = 14,246,112.69
  5. Step 5: Solve for x
    x = 14,246,112.69/5,266
  6. Step 6: Final answer
    x = 2,705.30

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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.