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Finding the Fourth Proportional to 5,675.68, 8,495.52 and 3,203.16

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Solution

The fourth proportional to 5,675.68, 8,495.52 and 3,203.16 is: 4,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.68 : 8,495.52 = 3,203.16 : x
  2. Step 2: Convert to fraction form
    5,675.68/8,495.52 = 3,203.16/x
  3. Step 3: Cross multiply
    5,675.68x = 8,495.52 × 3,203.16
  4. Step 4: Simplify right side
    5,675.68x = 27,212,509.84
  5. Step 5: Solve for x
    x = 27,212,509.84/5,675.68
  6. Step 6: Final answer
    x = 4,794.58

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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.