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Finding the Fourth Proportional to 4,346, 6,519 and 1,424.24

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Solution

The fourth proportional to 4,346, 6,519 and 1,424.24 is: 2,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346 : 6,519 = 1,424.24 : x
  2. Step 2: Convert to fraction form
    4,346/6,519 = 1,424.24/x
  3. Step 3: Cross multiply
    4,346x = 6,519 × 1,424.24
  4. Step 4: Simplify right side
    4,346x = 9,284,620.56
  5. Step 5: Solve for x
    x = 9,284,620.56/4,346
  6. Step 6: Final answer
    x = 2,136.36

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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.