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Finding the Fourth Proportional to 4,074.01, 5,622.14 and 2,305.63

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Solution

The fourth proportional to 4,074.01, 5,622.14 and 2,305.63 is: 3,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.01 : 5,622.14 = 2,305.63 : x
  2. Step 2: Convert to fraction form
    4,074.01/5,622.14 = 2,305.63/x
  3. Step 3: Cross multiply
    4,074.01x = 5,622.14 × 2,305.63
  4. Step 4: Simplify right side
    4,074.01x = 12,962,574.65
  5. Step 5: Solve for x
    x = 12,962,574.65/4,074.01
  6. Step 6: Final answer
    x = 3,181.77

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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.