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Finding the Fourth Proportional to 4,135.95, 6,204.94 and 2,056.94

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Solution

The fourth proportional to 4,135.95, 6,204.94 and 2,056.94 is: 3,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.95 : 6,204.94 = 2,056.94 : x
  2. Step 2: Convert to fraction form
    4,135.95/6,204.94 = 2,056.94/x
  3. Step 3: Cross multiply
    4,135.95x = 6,204.94 × 2,056.94
  4. Step 4: Simplify right side
    4,135.95x = 12,763,153.12
  5. Step 5: Solve for x
    x = 12,763,153.12/4,135.95
  6. Step 6: Final answer
    x = 3,085.91

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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.