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Finding the Fourth Proportional to 4,578.42, 6,867.01 and 1,291.77

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Solution

The fourth proportional to 4,578.42, 6,867.01 and 1,291.77 is: 1,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.42 : 6,867.01 = 1,291.77 : x
  2. Step 2: Convert to fraction form
    4,578.42/6,867.01 = 1,291.77/x
  3. Step 3: Cross multiply
    4,578.42x = 6,867.01 × 1,291.77
  4. Step 4: Simplify right side
    4,578.42x = 8,870,624.87
  5. Step 5: Solve for x
    x = 8,870,624.87/4,578.42
  6. Step 6: Final answer
    x = 1,937.49

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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.