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Finding the Fourth Proportional to 4,656.57, 6,986.36 and 1,369.68

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Solution

The fourth proportional to 4,656.57, 6,986.36 and 1,369.68 is: 2,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.57 : 6,986.36 = 1,369.68 : x
  2. Step 2: Convert to fraction form
    4,656.57/6,986.36 = 1,369.68/x
  3. Step 3: Cross multiply
    4,656.57x = 6,986.36 × 1,369.68
  4. Step 4: Simplify right side
    4,656.57x = 9,569,077.56
  5. Step 5: Solve for x
    x = 9,569,077.56/4,656.57
  6. Step 6: Final answer
    x = 2,054.96

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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.