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Finding the Fourth Proportional to 3,915.54, 5,868.54 and 2,880

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Solution

The fourth proportional to 3,915.54, 5,868.54 and 2,880 is: 4,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.54 : 5,868.54 = 2,880 : x
  2. Step 2: Convert to fraction form
    3,915.54/5,868.54 = 2,880/x
  3. Step 3: Cross multiply
    3,915.54x = 5,868.54 × 2,880
  4. Step 4: Simplify right side
    3,915.54x = 16,901,395.20
  5. Step 5: Solve for x
    x = 16,901,395.20/3,915.54
  6. Step 6: Final answer
    x = 4,316.49

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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.