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Finding the Fourth Proportional to 3,152.93, 4,728.78 and 1,852.88

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Solution

The fourth proportional to 3,152.93, 4,728.78 and 1,852.88 is: 2,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.93 : 4,728.78 = 1,852.88 : x
  2. Step 2: Convert to fraction form
    3,152.93/4,728.78 = 1,852.88/x
  3. Step 3: Cross multiply
    3,152.93x = 4,728.78 × 1,852.88
  4. Step 4: Simplify right side
    3,152.93x = 8,761,838.24
  5. Step 5: Solve for x
    x = 8,761,838.24/3,152.93
  6. Step 6: Final answer
    x = 2,778.96

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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.