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Finding the Fourth Proportional to 5,323.74, 7,340.07 and 4,142.94

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Solution

The fourth proportional to 5,323.74, 7,340.07 and 4,142.94 is: 5,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.74 : 7,340.07 = 4,142.94 : x
  2. Step 2: Convert to fraction form
    5,323.74/7,340.07 = 4,142.94/x
  3. Step 3: Cross multiply
    5,323.74x = 7,340.07 × 4,142.94
  4. Step 4: Simplify right side
    5,323.74x = 30,409,469.61
  5. Step 5: Solve for x
    x = 30,409,469.61/5,323.74
  6. Step 6: Final answer
    x = 5,712.05

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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.