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Finding the Fourth Proportional to 4,978.15, 7,466.94 and 1,515.13

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Solution

The fourth proportional to 4,978.15, 7,466.94 and 1,515.13 is: 2,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.15 : 7,466.94 = 1,515.13 : x
  2. Step 2: Convert to fraction form
    4,978.15/7,466.94 = 1,515.13/x
  3. Step 3: Cross multiply
    4,978.15x = 7,466.94 × 1,515.13
  4. Step 4: Simplify right side
    4,978.15x = 11,313,384.80
  5. Step 5: Solve for x
    x = 11,313,384.80/4,978.15
  6. Step 6: Final answer
    x = 2,272.61

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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.