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Finding the Fourth Proportional to 5,066.81, 7,600.25 and 1,604.06

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Solution

The fourth proportional to 5,066.81, 7,600.25 and 1,604.06 is: 2,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.81 : 7,600.25 = 1,604.06 : x
  2. Step 2: Convert to fraction form
    5,066.81/7,600.25 = 1,604.06/x
  3. Step 3: Cross multiply
    5,066.81x = 7,600.25 × 1,604.06
  4. Step 4: Simplify right side
    5,066.81x = 12,191,280.03
  5. Step 5: Solve for x
    x = 12,191,280.03/5,066.81
  6. Step 6: Final answer
    x = 2,406.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.