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Finding the Fourth Proportional to 3,814.32, 5,262 and 2,487.54

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Solution

The fourth proportional to 3,814.32, 5,262 and 2,487.54 is: 3,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.32 : 5,262 = 2,487.54 : x
  2. Step 2: Convert to fraction form
    3,814.32/5,262 = 2,487.54/x
  3. Step 3: Cross multiply
    3,814.32x = 5,262 × 2,487.54
  4. Step 4: Simplify right side
    3,814.32x = 13,089,435.48
  5. Step 5: Solve for x
    x = 13,089,435.48/3,814.32
  6. Step 6: Final answer
    x = 3,431.66

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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.