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Finding the Fourth Proportional to 4,805.12, 7,210.20 and 2,496.80

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Solution

The fourth proportional to 4,805.12, 7,210.20 and 2,496.80 is: 3,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.12 : 7,210.20 = 2,496.80 : x
  2. Step 2: Convert to fraction form
    4,805.12/7,210.20 = 2,496.80/x
  3. Step 3: Cross multiply
    4,805.12x = 7,210.20 × 2,496.80
  4. Step 4: Simplify right side
    4,805.12x = 18,002,427.36
  5. Step 5: Solve for x
    x = 18,002,427.36/4,805.12
  6. Step 6: Final answer
    x = 3,746.51

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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.