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Finding the Fourth Proportional to 5,120.96, 7,070.40 and 3,923.82

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Solution

The fourth proportional to 5,120.96, 7,070.40 and 3,923.82 is: 5,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.96 : 7,070.40 = 3,923.82 : x
  2. Step 2: Convert to fraction form
    5,120.96/7,070.40 = 3,923.82/x
  3. Step 3: Cross multiply
    5,120.96x = 7,070.40 × 3,923.82
  4. Step 4: Simplify right side
    5,120.96x = 27,742,976.93
  5. Step 5: Solve for x
    x = 27,742,976.93/5,120.96
  6. Step 6: Final answer
    x = 5,417.54

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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.