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Finding the Fourth Proportional to 5,698.89, 8,507.30 and 4,960.80

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Solution

The fourth proportional to 5,698.89, 8,507.30 and 4,960.80 is: 7,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.89 : 8,507.30 = 4,960.80 : x
  2. Step 2: Convert to fraction form
    5,698.89/8,507.30 = 4,960.80/x
  3. Step 3: Cross multiply
    5,698.89x = 8,507.30 × 4,960.80
  4. Step 4: Simplify right side
    5,698.89x = 42,202,989.04
  5. Step 5: Solve for x
    x = 42,202,989.04/5,698.89
  6. Step 6: Final answer
    x = 7,405.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.