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Finding the Fourth Proportional to 4,277.16, 6,411.96 and 4,019.04

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Solution

The fourth proportional to 4,277.16, 6,411.96 and 4,019.04 is: 6,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.16 : 6,411.96 = 4,019.04 : x
  2. Step 2: Convert to fraction form
    4,277.16/6,411.96 = 4,019.04/x
  3. Step 3: Cross multiply
    4,277.16x = 6,411.96 × 4,019.04
  4. Step 4: Simplify right side
    4,277.16x = 25,769,923.72
  5. Step 5: Solve for x
    x = 25,769,923.72/4,277.16
  6. Step 6: Final answer
    x = 6,025.01

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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.