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Finding the Fourth Proportional to 3,742.49, 5,127.23 and 3,602.36

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Solution

The fourth proportional to 3,742.49, 5,127.23 and 3,602.36 is: 4,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.49 : 5,127.23 = 3,602.36 : x
  2. Step 2: Convert to fraction form
    3,742.49/5,127.23 = 3,602.36/x
  3. Step 3: Cross multiply
    3,742.49x = 5,127.23 × 3,602.36
  4. Step 4: Simplify right side
    3,742.49x = 18,470,128.26
  5. Step 5: Solve for x
    x = 18,470,128.26/3,742.49
  6. Step 6: Final answer
    x = 4,935.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.