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Finding the Fourth Proportional to 3,000.02, 4,470.48 and 2,915.46

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Solution

The fourth proportional to 3,000.02, 4,470.48 and 2,915.46 is: 4,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.02 : 4,470.48 = 2,915.46 : x
  2. Step 2: Convert to fraction form
    3,000.02/4,470.48 = 2,915.46/x
  3. Step 3: Cross multiply
    3,000.02x = 4,470.48 × 2,915.46
  4. Step 4: Simplify right side
    3,000.02x = 13,033,505.62
  5. Step 5: Solve for x
    x = 13,033,505.62/3,000.02
  6. Step 6: Final answer
    x = 4,344.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.