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Finding the Fourth Proportional to 3,742.83, 5,127.71 and 3,602.70

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Solution

The fourth proportional to 3,742.83, 5,127.71 and 3,602.70 is: 4,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.83 : 5,127.71 = 3,602.70 : x
  2. Step 2: Convert to fraction form
    3,742.83/5,127.71 = 3,602.70/x
  3. Step 3: Cross multiply
    3,742.83x = 5,127.71 × 3,602.70
  4. Step 4: Simplify right side
    3,742.83x = 18,473,582.80
  5. Step 5: Solve for x
    x = 18,473,582.80/3,742.83
  6. Step 6: Final answer
    x = 4,935.73

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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.