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Finding the Fourth Proportional to 4,215.39, 6,323.90 and 1,618.13

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Solution

The fourth proportional to 4,215.39, 6,323.90 and 1,618.13 is: 2,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.39 : 6,323.90 = 1,618.13 : x
  2. Step 2: Convert to fraction form
    4,215.39/6,323.90 = 1,618.13/x
  3. Step 3: Cross multiply
    4,215.39x = 6,323.90 × 1,618.13
  4. Step 4: Simplify right side
    4,215.39x = 10,232,852.60
  5. Step 5: Solve for x
    x = 10,232,852.60/4,215.39
  6. Step 6: Final answer
    x = 2,427.50

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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.