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Finding the Fourth Proportional to 4,052.86, 6,072.55 and 1,418.95

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Solution

The fourth proportional to 4,052.86, 6,072.55 and 1,418.95 is: 2,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.86 : 6,072.55 = 1,418.95 : x
  2. Step 2: Convert to fraction form
    4,052.86/6,072.55 = 1,418.95/x
  3. Step 3: Cross multiply
    4,052.86x = 6,072.55 × 1,418.95
  4. Step 4: Simplify right side
    4,052.86x = 8,616,644.82
  5. Step 5: Solve for x
    x = 8,616,644.82/4,052.86
  6. Step 6: Final answer
    x = 2,126.07

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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.