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Finding the Fourth Proportional to 4,034.07, 6,052.95 and 2,085.21

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Solution

The fourth proportional to 4,034.07, 6,052.95 and 2,085.21 is: 3,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.07 : 6,052.95 = 2,085.21 : x
  2. Step 2: Convert to fraction form
    4,034.07/6,052.95 = 2,085.21/x
  3. Step 3: Cross multiply
    4,034.07x = 6,052.95 × 2,085.21
  4. Step 4: Simplify right side
    4,034.07x = 12,621,671.87
  5. Step 5: Solve for x
    x = 12,621,671.87/4,034.07
  6. Step 6: Final answer
    x = 3,128.77

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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.