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Finding the Fourth Proportional to 6,355.48, 8,770.50 and 3,561

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Solution

The fourth proportional to 6,355.48, 8,770.50 and 3,561 is: 4,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.48 : 8,770.50 = 3,561 : x
  2. Step 2: Convert to fraction form
    6,355.48/8,770.50 = 3,561/x
  3. Step 3: Cross multiply
    6,355.48x = 8,770.50 × 3,561
  4. Step 4: Simplify right side
    6,355.48x = 31,231,750.50
  5. Step 5: Solve for x
    x = 31,231,750.50/6,355.48
  6. Step 6: Final answer
    x = 4,914.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.