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Finding the Fourth Proportional to 3,581.75, 5,370.44 and 1,607.00

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Solution

The fourth proportional to 3,581.75, 5,370.44 and 1,607.00 is: 2,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.75 : 5,370.44 = 1,607.00 : x
  2. Step 2: Convert to fraction form
    3,581.75/5,370.44 = 1,607.00/x
  3. Step 3: Cross multiply
    3,581.75x = 5,370.44 × 1,607.00
  4. Step 4: Simplify right side
    3,581.75x = 8,630,262.19
  5. Step 5: Solve for x
    x = 8,630,262.19/3,581.75
  6. Step 6: Final answer
    x = 2,409.51

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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.