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Finding the Fourth Proportional to 3,159.86, 4,733.45 and 1,573.80

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Solution

The fourth proportional to 3,159.86, 4,733.45 and 1,573.80 is: 2,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.86 : 4,733.45 = 1,573.80 : x
  2. Step 2: Convert to fraction form
    3,159.86/4,733.45 = 1,573.80/x
  3. Step 3: Cross multiply
    3,159.86x = 4,733.45 × 1,573.80
  4. Step 4: Simplify right side
    3,159.86x = 7,449,510.52
  5. Step 5: Solve for x
    x = 7,449,510.52/3,159.86
  6. Step 6: Final answer
    x = 2,357.54

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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.