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Finding the Fourth Proportional to 4,406.77, 6,074.53 and 3,286

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Solution

The fourth proportional to 4,406.77, 6,074.53 and 3,286 is: 4,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.77 : 6,074.53 = 3,286 : x
  2. Step 2: Convert to fraction form
    4,406.77/6,074.53 = 3,286/x
  3. Step 3: Cross multiply
    4,406.77x = 6,074.53 × 3,286
  4. Step 4: Simplify right side
    4,406.77x = 19,960,905.58
  5. Step 5: Solve for x
    x = 19,960,905.58/4,406.77
  6. Step 6: Final answer
    x = 4,529.60

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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.