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Finding the Fourth Proportional to 5,886.66, 8,125.11 and 3,647.22

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Solution

The fourth proportional to 5,886.66, 8,125.11 and 3,647.22 is: 5,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.66 : 8,125.11 = 3,647.22 : x
  2. Step 2: Convert to fraction form
    5,886.66/8,125.11 = 3,647.22/x
  3. Step 3: Cross multiply
    5,886.66x = 8,125.11 × 3,647.22
  4. Step 4: Simplify right side
    5,886.66x = 29,634,063.69
  5. Step 5: Solve for x
    x = 29,634,063.69/5,886.66
  6. Step 6: Final answer
    x = 5,034.10

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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.