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Finding the Fourth Proportional to 4,615.95, 6,907.52 and 3,380.30

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Solution

The fourth proportional to 4,615.95, 6,907.52 and 3,380.30 is: 5,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.95 : 6,907.52 = 3,380.30 : x
  2. Step 2: Convert to fraction form
    4,615.95/6,907.52 = 3,380.30/x
  3. Step 3: Cross multiply
    4,615.95x = 6,907.52 × 3,380.30
  4. Step 4: Simplify right side
    4,615.95x = 23,349,463.77
  5. Step 5: Solve for x
    x = 23,349,463.77/4,615.95
  6. Step 6: Final answer
    x = 5,058.43

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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.