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Finding the Fourth Proportional to 3,057.63, 4,587.11 and 949.22

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Solution

The fourth proportional to 3,057.63, 4,587.11 and 949.22 is: 1,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.63 : 4,587.11 = 949.22 : x
  2. Step 2: Convert to fraction form
    3,057.63/4,587.11 = 949.22/x
  3. Step 3: Cross multiply
    3,057.63x = 4,587.11 × 949.22
  4. Step 4: Simplify right side
    3,057.63x = 4,354,159.25
  5. Step 5: Solve for x
    x = 4,354,159.25/3,057.63
  6. Step 6: Final answer
    x = 1,424.03

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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.