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Finding the Fourth Proportional to 4,074.64, 5,622.95 and 2,306.31

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Solution

The fourth proportional to 4,074.64, 5,622.95 and 2,306.31 is: 3,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.64 : 5,622.95 = 2,306.31 : x
  2. Step 2: Convert to fraction form
    4,074.64/5,622.95 = 2,306.31/x
  3. Step 3: Cross multiply
    4,074.64x = 5,622.95 × 2,306.31
  4. Step 4: Simplify right side
    4,074.64x = 12,968,250.49
  5. Step 5: Solve for x
    x = 12,968,250.49/4,074.64
  6. Step 6: Final answer
    x = 3,182.68

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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.