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Finding the Fourth Proportional to 5,886.08, 8,124.09 and 4,071.66

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Solution

The fourth proportional to 5,886.08, 8,124.09 and 4,071.66 is: 5,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.08 : 8,124.09 = 4,071.66 : x
  2. Step 2: Convert to fraction form
    5,886.08/8,124.09 = 4,071.66/x
  3. Step 3: Cross multiply
    5,886.08x = 8,124.09 × 4,071.66
  4. Step 4: Simplify right side
    5,886.08x = 33,078,532.29
  5. Step 5: Solve for x
    x = 33,078,532.29/5,886.08
  6. Step 6: Final answer
    x = 5,619.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.