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Finding the Fourth Proportional to 5,071.75, 7,607.01 and 1,561.75

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Solution

The fourth proportional to 5,071.75, 7,607.01 and 1,561.75 is: 2,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.75 : 7,607.01 = 1,561.75 : x
  2. Step 2: Convert to fraction form
    5,071.75/7,607.01 = 1,561.75/x
  3. Step 3: Cross multiply
    5,071.75x = 7,607.01 × 1,561.75
  4. Step 4: Simplify right side
    5,071.75x = 11,880,247.87
  5. Step 5: Solve for x
    x = 11,880,247.87/5,071.75
  6. Step 6: Final answer
    x = 2,342.44

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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.