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Finding the Fourth Proportional to 5,915.78, 8,873.67 and 1,533.24

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Solution

The fourth proportional to 5,915.78, 8,873.67 and 1,533.24 is: 2,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.78 : 8,873.67 = 1,533.24 : x
  2. Step 2: Convert to fraction form
    5,915.78/8,873.67 = 1,533.24/x
  3. Step 3: Cross multiply
    5,915.78x = 8,873.67 × 1,533.24
  4. Step 4: Simplify right side
    5,915.78x = 13,605,465.79
  5. Step 5: Solve for x
    x = 13,605,465.79/5,915.78
  6. Step 6: Final answer
    x = 2,299.86

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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.