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Finding the Fourth Proportional to 5,202.93, 7,803.61 and 1,915.24

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Solution

The fourth proportional to 5,202.93, 7,803.61 and 1,915.24 is: 2,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.93 : 7,803.61 = 1,915.24 : x
  2. Step 2: Convert to fraction form
    5,202.93/7,803.61 = 1,915.24/x
  3. Step 3: Cross multiply
    5,202.93x = 7,803.61 × 1,915.24
  4. Step 4: Simplify right side
    5,202.93x = 14,945,805.53
  5. Step 5: Solve for x
    x = 14,945,805.53/5,202.93
  6. Step 6: Final answer
    x = 2,872.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.