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Finding the Fourth Proportional to 4,600.42, 6,900.64 and 1,137.66

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Solution

The fourth proportional to 4,600.42, 6,900.64 and 1,137.66 is: 1,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.42 : 6,900.64 = 1,137.66 : x
  2. Step 2: Convert to fraction form
    4,600.42/6,900.64 = 1,137.66/x
  3. Step 3: Cross multiply
    4,600.42x = 6,900.64 × 1,137.66
  4. Step 4: Simplify right side
    4,600.42x = 7,850,582.10
  5. Step 5: Solve for x
    x = 7,850,582.10/4,600.42
  6. Step 6: Final answer
    x = 1,706.49

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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.