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Finding the Fourth Proportional to 5,670.51, 7,822.76 and 3,311.25

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Solution

The fourth proportional to 5,670.51, 7,822.76 and 3,311.25 is: 4,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.51 : 7,822.76 = 3,311.25 : x
  2. Step 2: Convert to fraction form
    5,670.51/7,822.76 = 3,311.25/x
  3. Step 3: Cross multiply
    5,670.51x = 7,822.76 × 3,311.25
  4. Step 4: Simplify right side
    5,670.51x = 25,903,097.49
  5. Step 5: Solve for x
    x = 25,903,097.49/5,670.51
  6. Step 6: Final answer
    x = 4,568.04

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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.