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Finding the Fourth Proportional to 4,210.94, 6,308.18 and 2,563.40

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Solution

The fourth proportional to 4,210.94, 6,308.18 and 2,563.40 is: 3,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.94 : 6,308.18 = 2,563.40 : x
  2. Step 2: Convert to fraction form
    4,210.94/6,308.18 = 2,563.40/x
  3. Step 3: Cross multiply
    4,210.94x = 6,308.18 × 2,563.40
  4. Step 4: Simplify right side
    4,210.94x = 16,170,388.61
  5. Step 5: Solve for x
    x = 16,170,388.61/4,210.94
  6. Step 6: Final answer
    x = 3,840.09

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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.