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Finding the Fourth Proportional to 4,263.84, 5,870.20 and 3,366

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Solution

The fourth proportional to 4,263.84, 5,870.20 and 3,366 is: 4,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.84 : 5,870.20 = 3,366 : x
  2. Step 2: Convert to fraction form
    4,263.84/5,870.20 = 3,366/x
  3. Step 3: Cross multiply
    4,263.84x = 5,870.20 × 3,366
  4. Step 4: Simplify right side
    4,263.84x = 19,759,093.20
  5. Step 5: Solve for x
    x = 19,759,093.20/4,263.84
  6. Step 6: Final answer
    x = 4,634.11

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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.