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Finding the Fourth Proportional to 4,333.77, 6,504.30 and 2,254.50

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Solution

The fourth proportional to 4,333.77, 6,504.30 and 2,254.50 is: 3,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.77 : 6,504.30 = 2,254.50 : x
  2. Step 2: Convert to fraction form
    4,333.77/6,504.30 = 2,254.50/x
  3. Step 3: Cross multiply
    4,333.77x = 6,504.30 × 2,254.50
  4. Step 4: Simplify right side
    4,333.77x = 14,663,944.35
  5. Step 5: Solve for x
    x = 14,663,944.35/4,333.77
  6. Step 6: Final answer
    x = 3,383.65

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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.