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Finding the Fourth Proportional to 5,434.35, 8,152.04 and 1,736.61

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Solution

The fourth proportional to 5,434.35, 8,152.04 and 1,736.61 is: 2,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.35 : 8,152.04 = 1,736.61 : x
  2. Step 2: Convert to fraction form
    5,434.35/8,152.04 = 1,736.61/x
  3. Step 3: Cross multiply
    5,434.35x = 8,152.04 × 1,736.61
  4. Step 4: Simplify right side
    5,434.35x = 14,156,956.74
  5. Step 5: Solve for x
    x = 14,156,956.74/5,434.35
  6. Step 6: Final answer
    x = 2,605.09

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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.