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Finding the Fourth Proportional to 4,235.46, 6,355.68 and 1,770.09

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Solution

The fourth proportional to 4,235.46, 6,355.68 and 1,770.09 is: 2,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.46 : 6,355.68 = 1,770.09 : x
  2. Step 2: Convert to fraction form
    4,235.46/6,355.68 = 1,770.09/x
  3. Step 3: Cross multiply
    4,235.46x = 6,355.68 × 1,770.09
  4. Step 4: Simplify right side
    4,235.46x = 11,250,105.10
  5. Step 5: Solve for x
    x = 11,250,105.10/4,235.46
  6. Step 6: Final answer
    x = 2,656.17

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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.