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Finding the Fourth Proportional to 4,382.60, 6,563.10 and 4,188.20

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Solution

The fourth proportional to 4,382.60, 6,563.10 and 4,188.20 is: 6,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.60 : 6,563.10 = 4,188.20 : x
  2. Step 2: Convert to fraction form
    4,382.60/6,563.10 = 4,188.20/x
  3. Step 3: Cross multiply
    4,382.60x = 6,563.10 × 4,188.20
  4. Step 4: Simplify right side
    4,382.60x = 27,487,575.42
  5. Step 5: Solve for x
    x = 27,487,575.42/4,382.60
  6. Step 6: Final answer
    x = 6,271.98

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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.