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Finding the Fourth Proportional to 5,817.51, 7,975.82 and 5,712.21

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Solution

The fourth proportional to 5,817.51, 7,975.82 and 5,712.21 is: 7,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.51 : 7,975.82 = 5,712.21 : x
  2. Step 2: Convert to fraction form
    5,817.51/7,975.82 = 5,712.21/x
  3. Step 3: Cross multiply
    5,817.51x = 7,975.82 × 5,712.21
  4. Step 4: Simplify right side
    5,817.51x = 45,559,573.04
  5. Step 5: Solve for x
    x = 45,559,573.04/5,817.51
  6. Step 6: Final answer
    x = 7,831.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.