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Finding the Fourth Proportional to 4,435.64, 6,647.66 and 3,207.16

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Solution

The fourth proportional to 4,435.64, 6,647.66 and 3,207.16 is: 4,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.64 : 6,647.66 = 3,207.16 : x
  2. Step 2: Convert to fraction form
    4,435.64/6,647.66 = 3,207.16/x
  3. Step 3: Cross multiply
    4,435.64x = 6,647.66 × 3,207.16
  4. Step 4: Simplify right side
    4,435.64x = 21,320,109.25
  5. Step 5: Solve for x
    x = 21,320,109.25/4,435.64
  6. Step 6: Final answer
    x = 4,806.55

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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.