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Finding the Fourth Proportional to 4,622.34, 6,933.30 and 1,335.57

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Solution

The fourth proportional to 4,622.34, 6,933.30 and 1,335.57 is: 2,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.34 : 6,933.30 = 1,335.57 : x
  2. Step 2: Convert to fraction form
    4,622.34/6,933.30 = 1,335.57/x
  3. Step 3: Cross multiply
    4,622.34x = 6,933.30 × 1,335.57
  4. Step 4: Simplify right side
    4,622.34x = 9,259,907.48
  5. Step 5: Solve for x
    x = 9,259,907.48/4,622.34
  6. Step 6: Final answer
    x = 2,003.29

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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.