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Finding the Fourth Proportional to 4,270, 5,892.60 and 2,407.44

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Solution

The fourth proportional to 4,270, 5,892.60 and 2,407.44 is: 3,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270 : 5,892.60 = 2,407.44 : x
  2. Step 2: Convert to fraction form
    4,270/5,892.60 = 2,407.44/x
  3. Step 3: Cross multiply
    4,270x = 5,892.60 × 2,407.44
  4. Step 4: Simplify right side
    4,270x = 14,186,080.94
  5. Step 5: Solve for x
    x = 14,186,080.94/4,270
  6. Step 6: Final answer
    x = 3,322.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.