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Finding the Fourth Proportional to 4,212.99, 6,322.01 and 1,618.11

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Solution

The fourth proportional to 4,212.99, 6,322.01 and 1,618.11 is: 2,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.99 : 6,322.01 = 1,618.11 : x
  2. Step 2: Convert to fraction form
    4,212.99/6,322.01 = 1,618.11/x
  3. Step 3: Cross multiply
    4,212.99x = 6,322.01 × 1,618.11
  4. Step 4: Simplify right side
    4,212.99x = 10,229,699.51
  5. Step 5: Solve for x
    x = 10,229,699.51/4,212.99
  6. Step 6: Final answer
    x = 2,428.13

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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.