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Finding the Fourth Proportional to 5,770.56, 7,967.66 and 3,535.50

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Solution

The fourth proportional to 5,770.56, 7,967.66 and 3,535.50 is: 4,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.56 : 7,967.66 = 3,535.50 : x
  2. Step 2: Convert to fraction form
    5,770.56/7,967.66 = 3,535.50/x
  3. Step 3: Cross multiply
    5,770.56x = 7,967.66 × 3,535.50
  4. Step 4: Simplify right side
    5,770.56x = 28,169,661.93
  5. Step 5: Solve for x
    x = 28,169,661.93/5,770.56
  6. Step 6: Final answer
    x = 4,881.62

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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.