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Finding the Fourth Proportional to 5,364.81, 8,045.69 and 2,077.20

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Solution

The fourth proportional to 5,364.81, 8,045.69 and 2,077.20 is: 3,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.81 : 8,045.69 = 2,077.20 : x
  2. Step 2: Convert to fraction form
    5,364.81/8,045.69 = 2,077.20/x
  3. Step 3: Cross multiply
    5,364.81x = 8,045.69 × 2,077.20
  4. Step 4: Simplify right side
    5,364.81x = 16,712,496.88
  5. Step 5: Solve for x
    x = 16,712,496.88/5,364.81
  6. Step 6: Final answer
    x = 3,115.21

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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.