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Finding the Fourth Proportional to 6,359.16, 8,775.63 and 3,706.05

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Solution

The fourth proportional to 6,359.16, 8,775.63 and 3,706.05 is: 5,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.16 : 8,775.63 = 3,706.05 : x
  2. Step 2: Convert to fraction form
    6,359.16/8,775.63 = 3,706.05/x
  3. Step 3: Cross multiply
    6,359.16x = 8,775.63 × 3,706.05
  4. Step 4: Simplify right side
    6,359.16x = 32,522,923.56
  5. Step 5: Solve for x
    x = 32,522,923.56/6,359.16
  6. Step 6: Final answer
    x = 5,114.34

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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.