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Finding the Fourth Proportional to 8,852.86, 13,282.80 and 3,657.52

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Solution

The fourth proportional to 8,852.86, 13,282.80 and 3,657.52 is: 5,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,852.86 : 13,282.80 = 3,657.52 : x
  2. Step 2: Convert to fraction form
    8,852.86/13,282.80 = 3,657.52/x
  3. Step 3: Cross multiply
    8,852.86x = 13,282.80 × 3,657.52
  4. Step 4: Simplify right side
    8,852.86x = 48,582,106.66
  5. Step 5: Solve for x
    x = 48,582,106.66/8,852.86
  6. Step 6: Final answer
    x = 5,487.73

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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.