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Finding the Fourth Proportional to 5,751.81, 7,938.81 and 4,071.47

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Solution

The fourth proportional to 5,751.81, 7,938.81 and 4,071.47 is: 5,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.81 : 7,938.81 = 4,071.47 : x
  2. Step 2: Convert to fraction form
    5,751.81/7,938.81 = 4,071.47/x
  3. Step 3: Cross multiply
    5,751.81x = 7,938.81 × 4,071.47
  4. Step 4: Simplify right side
    5,751.81x = 32,322,587.06
  5. Step 5: Solve for x
    x = 32,322,587.06/5,751.81
  6. Step 6: Final answer
    x = 5,619.55

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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.