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Finding the Fourth Proportional to 3,466, 4,783.08 and 2,224

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Solution

The fourth proportional to 3,466, 4,783.08 and 2,224 is: 3,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466 : 4,783.08 = 2,224 : x
  2. Step 2: Convert to fraction form
    3,466/4,783.08 = 2,224/x
  3. Step 3: Cross multiply
    3,466x = 4,783.08 × 2,224
  4. Step 4: Simplify right side
    3,466x = 10,637,569.92
  5. Step 5: Solve for x
    x = 10,637,569.92/3,466
  6. Step 6: Final answer
    x = 3,069.12

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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.