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Finding the Fourth Proportional to 5,700.51, 7,863.53 and 3,342.20

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Solution

The fourth proportional to 5,700.51, 7,863.53 and 3,342.20 is: 4,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.51 : 7,863.53 = 3,342.20 : x
  2. Step 2: Convert to fraction form
    5,700.51/7,863.53 = 3,342.20/x
  3. Step 3: Cross multiply
    5,700.51x = 7,863.53 × 3,342.20
  4. Step 4: Simplify right side
    5,700.51x = 26,281,433.94
  5. Step 5: Solve for x
    x = 26,281,433.94/5,700.51
  6. Step 6: Final answer
    x = 4,610.37

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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.