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Finding the Fourth Proportional to 4,346, 5,997.54 and 2,483

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Solution

The fourth proportional to 4,346, 5,997.54 and 2,483 is: 3,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346 : 5,997.54 = 2,483 : x
  2. Step 2: Convert to fraction form
    4,346/5,997.54 = 2,483/x
  3. Step 3: Cross multiply
    4,346x = 5,997.54 × 2,483
  4. Step 4: Simplify right side
    4,346x = 14,891,891.82
  5. Step 5: Solve for x
    x = 14,891,891.82/4,346
  6. Step 6: Final answer
    x = 3,426.57

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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.