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Finding the Fourth Proportional to 3,688.03, 5,089.42 and 2,009.45

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Solution

The fourth proportional to 3,688.03, 5,089.42 and 2,009.45 is: 2,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.03 : 5,089.42 = 2,009.45 : x
  2. Step 2: Convert to fraction form
    3,688.03/5,089.42 = 2,009.45/x
  3. Step 3: Cross multiply
    3,688.03x = 5,089.42 × 2,009.45
  4. Step 4: Simplify right side
    3,688.03x = 10,226,958.82
  5. Step 5: Solve for x
    x = 10,226,958.82/3,688.03
  6. Step 6: Final answer
    x = 2,773.01

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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.