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Finding the Fourth Proportional to 3,674.54, 5,074.31 and 2,558.52

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Solution

The fourth proportional to 3,674.54, 5,074.31 and 2,558.52 is: 3,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.54 : 5,074.31 = 2,558.52 : x
  2. Step 2: Convert to fraction form
    3,674.54/5,074.31 = 2,558.52/x
  3. Step 3: Cross multiply
    3,674.54x = 5,074.31 × 2,558.52
  4. Step 4: Simplify right side
    3,674.54x = 12,982,710.83
  5. Step 5: Solve for x
    x = 12,982,710.83/3,674.54
  6. Step 6: Final answer
    x = 3,533.16

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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.