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Finding the Fourth Proportional to 4,203.66, 6,307.56 and 2,012.13

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Solution

The fourth proportional to 4,203.66, 6,307.56 and 2,012.13 is: 3,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.66 : 6,307.56 = 2,012.13 : x
  2. Step 2: Convert to fraction form
    4,203.66/6,307.56 = 2,012.13/x
  3. Step 3: Cross multiply
    4,203.66x = 6,307.56 × 2,012.13
  4. Step 4: Simplify right side
    4,203.66x = 12,691,630.70
  5. Step 5: Solve for x
    x = 12,691,630.70/4,203.66
  6. Step 6: Final answer
    x = 3,019.19

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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.