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Finding the Fourth Proportional to 4,204.87, 6,307.29 and 2,012.40

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Solution

The fourth proportional to 4,204.87, 6,307.29 and 2,012.40 is: 3,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.87 : 6,307.29 = 2,012.40 : x
  2. Step 2: Convert to fraction form
    4,204.87/6,307.29 = 2,012.40/x
  3. Step 3: Cross multiply
    4,204.87x = 6,307.29 × 2,012.40
  4. Step 4: Simplify right side
    4,204.87x = 12,692,790.40
  5. Step 5: Solve for x
    x = 12,692,790.40/4,204.87
  6. Step 6: Final answer
    x = 3,018.59

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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.