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Finding the Fourth Proportional to 5,409.34, 8,113.95 and 2,943.60

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Solution

The fourth proportional to 5,409.34, 8,113.95 and 2,943.60 is: 4,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.34 : 8,113.95 = 2,943.60 : x
  2. Step 2: Convert to fraction form
    5,409.34/8,113.95 = 2,943.60/x
  3. Step 3: Cross multiply
    5,409.34x = 8,113.95 × 2,943.60
  4. Step 4: Simplify right side
    5,409.34x = 23,884,223.22
  5. Step 5: Solve for x
    x = 23,884,223.22/5,409.34
  6. Step 6: Final answer
    x = 4,415.37

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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.