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Finding the Fourth Proportional to 4,188.12, 6,276.12 and 2,310

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Solution

The fourth proportional to 4,188.12, 6,276.12 and 2,310 is: 3,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.12 : 6,276.12 = 2,310 : x
  2. Step 2: Convert to fraction form
    4,188.12/6,276.12 = 2,310/x
  3. Step 3: Cross multiply
    4,188.12x = 6,276.12 × 2,310
  4. Step 4: Simplify right side
    4,188.12x = 14,497,837.20
  5. Step 5: Solve for x
    x = 14,497,837.20/4,188.12
  6. Step 6: Final answer
    x = 3,461.66

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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.