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Finding the Fourth Proportional to 5,742.16, 7,923.96 and 3,507.77

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Solution

The fourth proportional to 5,742.16, 7,923.96 and 3,507.77 is: 4,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.16 : 7,923.96 = 3,507.77 : x
  2. Step 2: Convert to fraction form
    5,742.16/7,923.96 = 3,507.77/x
  3. Step 3: Cross multiply
    5,742.16x = 7,923.96 × 3,507.77
  4. Step 4: Simplify right side
    5,742.16x = 27,795,448.98
  5. Step 5: Solve for x
    x = 27,795,448.98/5,742.16
  6. Step 6: Final answer
    x = 4,840.59

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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.