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Finding the Fourth Proportional to 3,802.48, 5,245.96 and 2,810.16

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Solution

The fourth proportional to 3,802.48, 5,245.96 and 2,810.16 is: 3,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.48 : 5,245.96 = 2,810.16 : x
  2. Step 2: Convert to fraction form
    3,802.48/5,245.96 = 2,810.16/x
  3. Step 3: Cross multiply
    3,802.48x = 5,245.96 × 2,810.16
  4. Step 4: Simplify right side
    3,802.48x = 14,741,986.95
  5. Step 5: Solve for x
    x = 14,741,986.95/3,802.48
  6. Step 6: Final answer
    x = 3,876.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.