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Finding the Fourth Proportional to 4,853.52, 7,267.93 and 3,207.60

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Solution

The fourth proportional to 4,853.52, 7,267.93 and 3,207.60 is: 4,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.52 : 7,267.93 = 3,207.60 : x
  2. Step 2: Convert to fraction form
    4,853.52/7,267.93 = 3,207.60/x
  3. Step 3: Cross multiply
    4,853.52x = 7,267.93 × 3,207.60
  4. Step 4: Simplify right side
    4,853.52x = 23,312,604.25
  5. Step 5: Solve for x
    x = 23,312,604.25/4,853.52
  6. Step 6: Final answer
    x = 4,803.24

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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.