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Finding the Fourth Proportional to 5,434.45, 8,152.13 and 1,737.21

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Solution

The fourth proportional to 5,434.45, 8,152.13 and 1,737.21 is: 2,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.45 : 8,152.13 = 1,737.21 : x
  2. Step 2: Convert to fraction form
    5,434.45/8,152.13 = 1,737.21/x
  3. Step 3: Cross multiply
    5,434.45x = 8,152.13 × 1,737.21
  4. Step 4: Simplify right side
    5,434.45x = 14,161,961.76
  5. Step 5: Solve for x
    x = 14,161,961.76/5,434.45
  6. Step 6: Final answer
    x = 2,605.96

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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.