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Finding the Fourth Proportional to 4,664.04, 6,435.72 and 2,568.30

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Solution

The fourth proportional to 4,664.04, 6,435.72 and 2,568.30 is: 3,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.04 : 6,435.72 = 2,568.30 : x
  2. Step 2: Convert to fraction form
    4,664.04/6,435.72 = 2,568.30/x
  3. Step 3: Cross multiply
    4,664.04x = 6,435.72 × 2,568.30
  4. Step 4: Simplify right side
    4,664.04x = 16,528,859.68
  5. Step 5: Solve for x
    x = 16,528,859.68/4,664.04
  6. Step 6: Final answer
    x = 3,543.89

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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.