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Finding the Fourth Proportional to 4,215.64, 6,326.10 and 1,618.84

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Solution

The fourth proportional to 4,215.64, 6,326.10 and 1,618.84 is: 2,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.64 : 6,326.10 = 1,618.84 : x
  2. Step 2: Convert to fraction form
    4,215.64/6,326.10 = 1,618.84/x
  3. Step 3: Cross multiply
    4,215.64x = 6,326.10 × 1,618.84
  4. Step 4: Simplify right side
    4,215.64x = 10,240,943.72
  5. Step 5: Solve for x
    x = 10,240,943.72/4,215.64
  6. Step 6: Final answer
    x = 2,429.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.