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Finding the Fourth Proportional to 4,705.40, 7,055.49 and 3,226.34

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Solution

The fourth proportional to 4,705.40, 7,055.49 and 3,226.34 is: 4,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.40 : 7,055.49 = 3,226.34 : x
  2. Step 2: Convert to fraction form
    4,705.40/7,055.49 = 3,226.34/x
  3. Step 3: Cross multiply
    4,705.40x = 7,055.49 × 3,226.34
  4. Step 4: Simplify right side
    4,705.40x = 22,763,409.61
  5. Step 5: Solve for x
    x = 22,763,409.61/4,705.40
  6. Step 6: Final answer
    x = 4,837.72

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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.