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Finding the Fourth Proportional to 3,217.44, 4,430.16 and 2,552.16

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Solution

The fourth proportional to 3,217.44, 4,430.16 and 2,552.16 is: 3,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.44 : 4,430.16 = 2,552.16 : x
  2. Step 2: Convert to fraction form
    3,217.44/4,430.16 = 2,552.16/x
  3. Step 3: Cross multiply
    3,217.44x = 4,430.16 × 2,552.16
  4. Step 4: Simplify right side
    3,217.44x = 11,306,477.15
  5. Step 5: Solve for x
    x = 11,306,477.15/3,217.44
  6. Step 6: Final answer
    x = 3,514.12

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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.