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Finding the Fourth Proportional to 5,764.23, 7,954.80 and 3,526.07

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Solution

The fourth proportional to 5,764.23, 7,954.80 and 3,526.07 is: 4,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.23 : 7,954.80 = 3,526.07 : x
  2. Step 2: Convert to fraction form
    5,764.23/7,954.80 = 3,526.07/x
  3. Step 3: Cross multiply
    5,764.23x = 7,954.80 × 3,526.07
  4. Step 4: Simplify right side
    5,764.23x = 28,049,124.23
  5. Step 5: Solve for x
    x = 28,049,124.23/5,764.23
  6. Step 6: Final answer
    x = 4,866.07

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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.