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Finding the Fourth Proportional to 4,287.60, 6,431.70 and 1,822.14

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Solution

The fourth proportional to 4,287.60, 6,431.70 and 1,822.14 is: 2,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.60 : 6,431.70 = 1,822.14 : x
  2. Step 2: Convert to fraction form
    4,287.60/6,431.70 = 1,822.14/x
  3. Step 3: Cross multiply
    4,287.60x = 6,431.70 × 1,822.14
  4. Step 4: Simplify right side
    4,287.60x = 11,719,457.84
  5. Step 5: Solve for x
    x = 11,719,457.84/4,287.60
  6. Step 6: Final answer
    x = 2,733.34

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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.