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Finding the Fourth Proportional to 3,503.64, 5,254.83 and 1,282

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Solution

The fourth proportional to 3,503.64, 5,254.83 and 1,282 is: 1,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.64 : 5,254.83 = 1,282 : x
  2. Step 2: Convert to fraction form
    3,503.64/5,254.83 = 1,282/x
  3. Step 3: Cross multiply
    3,503.64x = 5,254.83 × 1,282
  4. Step 4: Simplify right side
    3,503.64x = 6,736,692.06
  5. Step 5: Solve for x
    x = 6,736,692.06/3,503.64
  6. Step 6: Final answer
    x = 1,922.77

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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.