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Finding the Fourth Proportional to 5,014.48, 7,523 and 3,178.64

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Solution

The fourth proportional to 5,014.48, 7,523 and 3,178.64 is: 4,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014.48 : 7,523 = 3,178.64 : x
  2. Step 2: Convert to fraction form
    5,014.48/7,523 = 3,178.64/x
  3. Step 3: Cross multiply
    5,014.48x = 7,523 × 3,178.64
  4. Step 4: Simplify right side
    5,014.48x = 23,912,908.72
  5. Step 5: Solve for x
    x = 23,912,908.72/5,014.48
  6. Step 6: Final answer
    x = 4,768.77

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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.