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Finding the Fourth Proportional to 3,284.34, 4,933.80 and 2,803.20

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Solution

The fourth proportional to 3,284.34, 4,933.80 and 2,803.20 is: 4,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.34 : 4,933.80 = 2,803.20 : x
  2. Step 2: Convert to fraction form
    3,284.34/4,933.80 = 2,803.20/x
  3. Step 3: Cross multiply
    3,284.34x = 4,933.80 × 2,803.20
  4. Step 4: Simplify right side
    3,284.34x = 13,830,428.16
  5. Step 5: Solve for x
    x = 13,830,428.16/3,284.34
  6. Step 6: Final answer
    x = 4,211.02

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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.