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Finding the Fourth Proportional to 5,364.81, 8,050.27 and 4,191.51

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Solution

The fourth proportional to 5,364.81, 8,050.27 and 4,191.51 is: 6,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.81 : 8,050.27 = 4,191.51 : x
  2. Step 2: Convert to fraction form
    5,364.81/8,050.27 = 4,191.51/x
  3. Step 3: Cross multiply
    5,364.81x = 8,050.27 × 4,191.51
  4. Step 4: Simplify right side
    5,364.81x = 33,742,787.21
  5. Step 5: Solve for x
    x = 33,742,787.21/5,364.81
  6. Step 6: Final answer
    x = 6,289.65

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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.