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Finding the Fourth Proportional to 5,655.16, 8,471.94 and 4,736.62

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Solution

The fourth proportional to 5,655.16, 8,471.94 and 4,736.62 is: 7,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.16 : 8,471.94 = 4,736.62 : x
  2. Step 2: Convert to fraction form
    5,655.16/8,471.94 = 4,736.62/x
  3. Step 3: Cross multiply
    5,655.16x = 8,471.94 × 4,736.62
  4. Step 4: Simplify right side
    5,655.16x = 40,128,360.44
  5. Step 5: Solve for x
    x = 40,128,360.44/5,655.16
  6. Step 6: Final answer
    x = 7,095.88

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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.