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Finding the Fourth Proportional to 3,902.85, 5,848.74 and 1,706.94

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Solution

The fourth proportional to 3,902.85, 5,848.74 and 1,706.94 is: 2,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.85 : 5,848.74 = 1,706.94 : x
  2. Step 2: Convert to fraction form
    3,902.85/5,848.74 = 1,706.94/x
  3. Step 3: Cross multiply
    3,902.85x = 5,848.74 × 1,706.94
  4. Step 4: Simplify right side
    3,902.85x = 9,983,448.26
  5. Step 5: Solve for x
    x = 9,983,448.26/3,902.85
  6. Step 6: Final answer
    x = 2,557.99

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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.