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Finding the Fourth Proportional to 4,254.30, 6,369.30 and 4,132.80

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Solution

The fourth proportional to 4,254.30, 6,369.30 and 4,132.80 is: 6,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.30 : 6,369.30 = 4,132.80 : x
  2. Step 2: Convert to fraction form
    4,254.30/6,369.30 = 4,132.80/x
  3. Step 3: Cross multiply
    4,254.30x = 6,369.30 × 4,132.80
  4. Step 4: Simplify right side
    4,254.30x = 26,323,043.04
  5. Step 5: Solve for x
    x = 26,323,043.04/4,254.30
  6. Step 6: Final answer
    x = 6,187.40

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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.