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Finding the Fourth Proportional to 5,734.32, 8,602.86 and 1,785.48

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Solution

The fourth proportional to 5,734.32, 8,602.86 and 1,785.48 is: 2,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.32 : 8,602.86 = 1,785.48 : x
  2. Step 2: Convert to fraction form
    5,734.32/8,602.86 = 1,785.48/x
  3. Step 3: Cross multiply
    5,734.32x = 8,602.86 × 1,785.48
  4. Step 4: Simplify right side
    5,734.32x = 15,360,234.47
  5. Step 5: Solve for x
    x = 15,360,234.47/5,734.32
  6. Step 6: Final answer
    x = 2,678.65

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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.