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Finding the Fourth Proportional to 4,978.59, 7,468.98 and 1,515.75

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Solution

The fourth proportional to 4,978.59, 7,468.98 and 1,515.75 is: 2,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.59 : 7,468.98 = 1,515.75 : x
  2. Step 2: Convert to fraction form
    4,978.59/7,468.98 = 1,515.75/x
  3. Step 3: Cross multiply
    4,978.59x = 7,468.98 × 1,515.75
  4. Step 4: Simplify right side
    4,978.59x = 11,321,106.44
  5. Step 5: Solve for x
    x = 11,321,106.44/4,978.59
  6. Step 6: Final answer
    x = 2,273.96

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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.