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Finding the Fourth Proportional to 3,052.68, 4,570.36 and 2,009.54

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Solution

The fourth proportional to 3,052.68, 4,570.36 and 2,009.54 is: 3,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.68 : 4,570.36 = 2,009.54 : x
  2. Step 2: Convert to fraction form
    3,052.68/4,570.36 = 2,009.54/x
  3. Step 3: Cross multiply
    3,052.68x = 4,570.36 × 2,009.54
  4. Step 4: Simplify right side
    3,052.68x = 9,184,321.23
  5. Step 5: Solve for x
    x = 9,184,321.23/3,052.68
  6. Step 6: Final answer
    x = 3,008.61

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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.