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Finding the Fourth Proportional to 4,012.57, 6,018.93 and 1,380.05

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Solution

The fourth proportional to 4,012.57, 6,018.93 and 1,380.05 is: 2,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.57 : 6,018.93 = 1,380.05 : x
  2. Step 2: Convert to fraction form
    4,012.57/6,018.93 = 1,380.05/x
  3. Step 3: Cross multiply
    4,012.57x = 6,018.93 × 1,380.05
  4. Step 4: Simplify right side
    4,012.57x = 8,306,424.35
  5. Step 5: Solve for x
    x = 8,306,424.35/4,012.57
  6. Step 6: Final answer
    x = 2,070.10

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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.