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Finding the Fourth Proportional to 4,649.24, 6,416.94 and 2,787.32

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Solution

The fourth proportional to 4,649.24, 6,416.94 and 2,787.32 is: 3,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.24 : 6,416.94 = 2,787.32 : x
  2. Step 2: Convert to fraction form
    4,649.24/6,416.94 = 2,787.32/x
  3. Step 3: Cross multiply
    4,649.24x = 6,416.94 × 2,787.32
  4. Step 4: Simplify right side
    4,649.24x = 17,886,065.20
  5. Step 5: Solve for x
    x = 17,886,065.20/4,649.24
  6. Step 6: Final answer
    x = 3,847.09

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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.