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Finding the Fourth Proportional to 5,242.08, 7,850.14 and 3,044.14

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Solution

The fourth proportional to 5,242.08, 7,850.14 and 3,044.14 is: 4,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.08 : 7,850.14 = 3,044.14 : x
  2. Step 2: Convert to fraction form
    5,242.08/7,850.14 = 3,044.14/x
  3. Step 3: Cross multiply
    5,242.08x = 7,850.14 × 3,044.14
  4. Step 4: Simplify right side
    5,242.08x = 23,896,925.18
  5. Step 5: Solve for x
    x = 23,896,925.18/5,242.08
  6. Step 6: Final answer
    x = 4,558.67

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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.