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Finding the Fourth Proportional to 4,053, 5,593 and 2,284.50

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Solution

The fourth proportional to 4,053, 5,593 and 2,284.50 is: 3,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053 : 5,593 = 2,284.50 : x
  2. Step 2: Convert to fraction form
    4,053/5,593 = 2,284.50/x
  3. Step 3: Cross multiply
    4,053x = 5,593 × 2,284.50
  4. Step 4: Simplify right side
    4,053x = 12,777,208.50
  5. Step 5: Solve for x
    x = 12,777,208.50/4,053
  6. Step 6: Final answer
    x = 3,152.53

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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.