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Finding the Fourth Proportional to 4,191.02, 6,287.30 and 1,380.02

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Solution

The fourth proportional to 4,191.02, 6,287.30 and 1,380.02 is: 2,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.02 : 6,287.30 = 1,380.02 : x
  2. Step 2: Convert to fraction form
    4,191.02/6,287.30 = 1,380.02/x
  3. Step 3: Cross multiply
    4,191.02x = 6,287.30 × 1,380.02
  4. Step 4: Simplify right side
    4,191.02x = 8,676,561.41
  5. Step 5: Solve for x
    x = 8,676,561.41/4,191.02
  6. Step 6: Final answer
    x = 2,070.28

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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.