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Finding the Fourth Proportional to 4,762.50, 7,145.91 and 2,296.86

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Solution

The fourth proportional to 4,762.50, 7,145.91 and 2,296.86 is: 3,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.50 : 7,145.91 = 2,296.86 : x
  2. Step 2: Convert to fraction form
    4,762.50/7,145.91 = 2,296.86/x
  3. Step 3: Cross multiply
    4,762.50x = 7,145.91 × 2,296.86
  4. Step 4: Simplify right side
    4,762.50x = 16,413,154.84
  5. Step 5: Solve for x
    x = 16,413,154.84/4,762.50
  6. Step 6: Final answer
    x = 3,446.33

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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.