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Finding the Fourth Proportional to 3,802.79, 5,706.74 and 1,337.63

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Solution

The fourth proportional to 3,802.79, 5,706.74 and 1,337.63 is: 2,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.79 : 5,706.74 = 1,337.63 : x
  2. Step 2: Convert to fraction form
    3,802.79/5,706.74 = 1,337.63/x
  3. Step 3: Cross multiply
    3,802.79x = 5,706.74 × 1,337.63
  4. Step 4: Simplify right side
    3,802.79x = 7,633,471.40
  5. Step 5: Solve for x
    x = 7,633,471.40/3,802.79
  6. Step 6: Final answer
    x = 2,007.34

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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.