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Finding the Fourth Proportional to 5,406.72, 7,461.53 and 3,048.87

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Solution

The fourth proportional to 5,406.72, 7,461.53 and 3,048.87 is: 4,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.72 : 7,461.53 = 3,048.87 : x
  2. Step 2: Convert to fraction form
    5,406.72/7,461.53 = 3,048.87/x
  3. Step 3: Cross multiply
    5,406.72x = 7,461.53 × 3,048.87
  4. Step 4: Simplify right side
    5,406.72x = 22,749,234.97
  5. Step 5: Solve for x
    x = 22,749,234.97/5,406.72
  6. Step 6: Final answer
    x = 4,207.59

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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.