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Finding the Fourth Proportional to 5,406.60, 7,461.54 and 3,048.96

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Solution

The fourth proportional to 5,406.60, 7,461.54 and 3,048.96 is: 4,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.60 : 7,461.54 = 3,048.96 : x
  2. Step 2: Convert to fraction form
    5,406.60/7,461.54 = 3,048.96/x
  3. Step 3: Cross multiply
    5,406.60x = 7,461.54 × 3,048.96
  4. Step 4: Simplify right side
    5,406.60x = 22,749,937.00
  5. Step 5: Solve for x
    x = 22,749,937.00/5,406.60
  6. Step 6: Final answer
    x = 4,207.81

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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.