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Finding the Fourth Proportional to 5,071.41, 7,607.06 and 3,846.34

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Solution

The fourth proportional to 5,071.41, 7,607.06 and 3,846.34 is: 5,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.41 : 7,607.06 = 3,846.34 : x
  2. Step 2: Convert to fraction form
    5,071.41/7,607.06 = 3,846.34/x
  3. Step 3: Cross multiply
    5,071.41x = 7,607.06 × 3,846.34
  4. Step 4: Simplify right side
    5,071.41x = 29,259,322.71
  5. Step 5: Solve for x
    x = 29,259,322.71/5,071.41
  6. Step 6: Final answer
    x = 5,769.47

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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.