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Finding the Fourth Proportional to 3,494.48, 5,225.52 and 2,705.54

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Solution

The fourth proportional to 3,494.48, 5,225.52 and 2,705.54 is: 4,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.48 : 5,225.52 = 2,705.54 : x
  2. Step 2: Convert to fraction form
    3,494.48/5,225.52 = 2,705.54/x
  3. Step 3: Cross multiply
    3,494.48x = 5,225.52 × 2,705.54
  4. Step 4: Simplify right side
    3,494.48x = 14,137,853.38
  5. Step 5: Solve for x
    x = 14,137,853.38/3,494.48
  6. Step 6: Final answer
    x = 4,045.77

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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.