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Finding the Fourth Proportional to 4,775.93, 7,162.50 and 2,002.52

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Solution

The fourth proportional to 4,775.93, 7,162.50 and 2,002.52 is: 3,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.93 : 7,162.50 = 2,002.52 : x
  2. Step 2: Convert to fraction form
    4,775.93/7,162.50 = 2,002.52/x
  3. Step 3: Cross multiply
    4,775.93x = 7,162.50 × 2,002.52
  4. Step 4: Simplify right side
    4,775.93x = 14,343,049.50
  5. Step 5: Solve for x
    x = 14,343,049.50/4,775.93
  6. Step 6: Final answer
    x = 3,003.20

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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.