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Finding the Fourth Proportional to 4,497.16, 6,749.27 and 3,120.16

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Solution

The fourth proportional to 4,497.16, 6,749.27 and 3,120.16 is: 4,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.16 : 6,749.27 = 3,120.16 : x
  2. Step 2: Convert to fraction form
    4,497.16/6,749.27 = 3,120.16/x
  3. Step 3: Cross multiply
    4,497.16x = 6,749.27 × 3,120.16
  4. Step 4: Simplify right side
    4,497.16x = 21,058,752.94
  5. Step 5: Solve for x
    x = 21,058,752.94/4,497.16
  6. Step 6: Final answer
    x = 4,682.68

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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.