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Finding the Fourth Proportional to 3,500.30, 4,830.12 and 2,224.08

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Solution

The fourth proportional to 3,500.30, 4,830.12 and 2,224.08 is: 3,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.30 : 4,830.12 = 2,224.08 : x
  2. Step 2: Convert to fraction form
    3,500.30/4,830.12 = 2,224.08/x
  3. Step 3: Cross multiply
    3,500.30x = 4,830.12 × 2,224.08
  4. Step 4: Simplify right side
    3,500.30x = 10,742,573.29
  5. Step 5: Solve for x
    x = 10,742,573.29/3,500.30
  6. Step 6: Final answer
    x = 3,069.05

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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.