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Finding the Fourth Proportional to 5,804.72, 8,006.28 and 3,680.90

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Solution

The fourth proportional to 5,804.72, 8,006.28 and 3,680.90 is: 5,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.72 : 8,006.28 = 3,680.90 : x
  2. Step 2: Convert to fraction form
    5,804.72/8,006.28 = 3,680.90/x
  3. Step 3: Cross multiply
    5,804.72x = 8,006.28 × 3,680.90
  4. Step 4: Simplify right side
    5,804.72x = 29,470,316.05
  5. Step 5: Solve for x
    x = 29,470,316.05/5,804.72
  6. Step 6: Final answer
    x = 5,076.96

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1.5x scale

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.