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Finding the Fourth Proportional to 4,369.64, 6,029.96 and 2,380.15

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Solution

The fourth proportional to 4,369.64, 6,029.96 and 2,380.15 is: 3,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.64 : 6,029.96 = 2,380.15 : x
  2. Step 2: Convert to fraction form
    4,369.64/6,029.96 = 2,380.15/x
  3. Step 3: Cross multiply
    4,369.64x = 6,029.96 × 2,380.15
  4. Step 4: Simplify right side
    4,369.64x = 14,352,182.32
  5. Step 5: Solve for x
    x = 14,352,182.32/4,369.64
  6. Step 6: Final answer
    x = 3,284.52

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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.