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Finding the Fourth Proportional to 4,077.86, 5,621.54 and 3,014.06

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Solution

The fourth proportional to 4,077.86, 5,621.54 and 3,014.06 is: 4,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.86 : 5,621.54 = 3,014.06 : x
  2. Step 2: Convert to fraction form
    4,077.86/5,621.54 = 3,014.06/x
  3. Step 3: Cross multiply
    4,077.86x = 5,621.54 × 3,014.06
  4. Step 4: Simplify right side
    4,077.86x = 16,943,658.85
  5. Step 5: Solve for x
    x = 16,943,658.85/4,077.86
  6. Step 6: Final answer
    x = 4,155.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.