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Finding the Fourth Proportional to 3,405.48, 5,106.63 and 2,019.01

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Solution

The fourth proportional to 3,405.48, 5,106.63 and 2,019.01 is: 3,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.48 : 5,106.63 = 2,019.01 : x
  2. Step 2: Convert to fraction form
    3,405.48/5,106.63 = 2,019.01/x
  3. Step 3: Cross multiply
    3,405.48x = 5,106.63 × 2,019.01
  4. Step 4: Simplify right side
    3,405.48x = 10,310,337.04
  5. Step 5: Solve for x
    x = 10,310,337.04/3,405.48
  6. Step 6: Final answer
    x = 3,027.57

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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.