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Finding the Fourth Proportional to 5,791.98, 7,980.75 and 3,925.74

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Solution

The fourth proportional to 5,791.98, 7,980.75 and 3,925.74 is: 5,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.98 : 7,980.75 = 3,925.74 : x
  2. Step 2: Convert to fraction form
    5,791.98/7,980.75 = 3,925.74/x
  3. Step 3: Cross multiply
    5,791.98x = 7,980.75 × 3,925.74
  4. Step 4: Simplify right side
    5,791.98x = 31,330,349.51
  5. Step 5: Solve for x
    x = 31,330,349.51/5,791.98
  6. Step 6: Final answer
    x = 5,409.26

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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.