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Finding the Fourth Proportional to 3,915.58, 5,873.74 and 1,142.19

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Solution

The fourth proportional to 3,915.58, 5,873.74 and 1,142.19 is: 1,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.58 : 5,873.74 = 1,142.19 : x
  2. Step 2: Convert to fraction form
    3,915.58/5,873.74 = 1,142.19/x
  3. Step 3: Cross multiply
    3,915.58x = 5,873.74 × 1,142.19
  4. Step 4: Simplify right side
    3,915.58x = 6,708,927.09
  5. Step 5: Solve for x
    x = 6,708,927.09/3,915.58
  6. Step 6: Final answer
    x = 1,713.39

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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.