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Finding the Fourth Proportional to 4,568.92, 6,852.30 and 2,102.20

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Solution

The fourth proportional to 4,568.92, 6,852.30 and 2,102.20 is: 3,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.92 : 6,852.30 = 2,102.20 : x
  2. Step 2: Convert to fraction form
    4,568.92/6,852.30 = 2,102.20/x
  3. Step 3: Cross multiply
    4,568.92x = 6,852.30 × 2,102.20
  4. Step 4: Simplify right side
    4,568.92x = 14,404,905.06
  5. Step 5: Solve for x
    x = 14,404,905.06/4,568.92
  6. Step 6: Final answer
    x = 3,152.80

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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.