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Finding the Fourth Proportional to 4,436.64, 6,649.16 and 3,208.16

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Solution

The fourth proportional to 4,436.64, 6,649.16 and 3,208.16 is: 4,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436.64 : 6,649.16 = 3,208.16 : x
  2. Step 2: Convert to fraction form
    4,436.64/6,649.16 = 3,208.16/x
  3. Step 3: Cross multiply
    4,436.64x = 6,649.16 × 3,208.16
  4. Step 4: Simplify right side
    4,436.64x = 21,331,569.15
  5. Step 5: Solve for x
    x = 21,331,569.15/4,436.64
  6. Step 6: Final answer
    x = 4,808.05

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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.