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Finding the Fourth Proportional to 4,204.58, 5,803.53 and 2,811.38

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Solution

The fourth proportional to 4,204.58, 5,803.53 and 2,811.38 is: 3,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.58 : 5,803.53 = 2,811.38 : x
  2. Step 2: Convert to fraction form
    4,204.58/5,803.53 = 2,811.38/x
  3. Step 3: Cross multiply
    4,204.58x = 5,803.53 × 2,811.38
  4. Step 4: Simplify right side
    4,204.58x = 16,315,928.17
  5. Step 5: Solve for x
    x = 16,315,928.17/4,204.58
  6. Step 6: Final answer
    x = 3,880.51

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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.