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Finding the Fourth Proportional to 5,347.64, 7,380.30 and 3,109.34

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Solution

The fourth proportional to 5,347.64, 7,380.30 and 3,109.34 is: 4,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.64 : 7,380.30 = 3,109.34 : x
  2. Step 2: Convert to fraction form
    5,347.64/7,380.30 = 3,109.34/x
  3. Step 3: Cross multiply
    5,347.64x = 7,380.30 × 3,109.34
  4. Step 4: Simplify right side
    5,347.64x = 22,947,862.00
  5. Step 5: Solve for x
    x = 22,947,862.00/5,347.64
  6. Step 6: Final answer
    x = 4,291.21

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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.