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Finding the Fourth Proportional to 3,810.42, 5,255.82 and 2,484.54

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Solution

The fourth proportional to 3,810.42, 5,255.82 and 2,484.54 is: 3,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.42 : 5,255.82 = 2,484.54 : x
  2. Step 2: Convert to fraction form
    3,810.42/5,255.82 = 2,484.54/x
  3. Step 3: Cross multiply
    3,810.42x = 5,255.82 × 2,484.54
  4. Step 4: Simplify right side
    3,810.42x = 13,058,295.02
  5. Step 5: Solve for x
    x = 13,058,295.02/3,810.42
  6. Step 6: Final answer
    x = 3,427.00

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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.