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Finding the Fourth Proportional to 4,125, 6,182.16 and 2,643.60

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Solution

The fourth proportional to 4,125, 6,182.16 and 2,643.60 is: 3,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125 : 6,182.16 = 2,643.60 : x
  2. Step 2: Convert to fraction form
    4,125/6,182.16 = 2,643.60/x
  3. Step 3: Cross multiply
    4,125x = 6,182.16 × 2,643.60
  4. Step 4: Simplify right side
    4,125x = 16,343,158.18
  5. Step 5: Solve for x
    x = 16,343,158.18/4,125
  6. Step 6: Final answer
    x = 3,961.98

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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.