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Finding the Fourth Proportional to 4,571.78, 6,309 and 2,475.86

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Solution

The fourth proportional to 4,571.78, 6,309 and 2,475.86 is: 3,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.78 : 6,309 = 2,475.86 : x
  2. Step 2: Convert to fraction form
    4,571.78/6,309 = 2,475.86/x
  3. Step 3: Cross multiply
    4,571.78x = 6,309 × 2,475.86
  4. Step 4: Simplify right side
    4,571.78x = 15,620,200.74
  5. Step 5: Solve for x
    x = 15,620,200.74/4,571.78
  6. Step 6: Final answer
    x = 3,416.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.