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Finding the Fourth Proportional to 5,742.24, 8,555.61 and 5,364.98

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Solution

The fourth proportional to 5,742.24, 8,555.61 and 5,364.98 is: 7,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.24 : 8,555.61 = 5,364.98 : x
  2. Step 2: Convert to fraction form
    5,742.24/8,555.61 = 5,364.98/x
  3. Step 3: Cross multiply
    5,742.24x = 8,555.61 × 5,364.98
  4. Step 4: Simplify right side
    5,742.24x = 45,900,726.54
  5. Step 5: Solve for x
    x = 45,900,726.54/5,742.24
  6. Step 6: Final answer
    x = 7,993.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.