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Finding the Fourth Proportional to 2,985.71, 4,127.49 and 2,736.63

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Solution

The fourth proportional to 2,985.71, 4,127.49 and 2,736.63 is: 3,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.71 : 4,127.49 = 2,736.63 : x
  2. Step 2: Convert to fraction form
    2,985.71/4,127.49 = 2,736.63/x
  3. Step 3: Cross multiply
    2,985.71x = 4,127.49 × 2,736.63
  4. Step 4: Simplify right side
    2,985.71x = 11,295,412.96
  5. Step 5: Solve for x
    x = 11,295,412.96/2,985.71
  6. Step 6: Final answer
    x = 3,783.16

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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.