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Finding the Fourth Proportional to 4,975.88, 7,462.86 and 4,007.60

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Solution

The fourth proportional to 4,975.88, 7,462.86 and 4,007.60 is: 6,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.88 : 7,462.86 = 4,007.60 : x
  2. Step 2: Convert to fraction form
    4,975.88/7,462.86 = 4,007.60/x
  3. Step 3: Cross multiply
    4,975.88x = 7,462.86 × 4,007.60
  4. Step 4: Simplify right side
    4,975.88x = 29,908,157.74
  5. Step 5: Solve for x
    x = 29,908,157.74/4,975.88
  6. Step 6: Final answer
    x = 6,010.63

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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.