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Finding the Fourth Proportional to 5,703.13, 7,870.26 and 3,344.82

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Solution

The fourth proportional to 5,703.13, 7,870.26 and 3,344.82 is: 4,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.13 : 7,870.26 = 3,344.82 : x
  2. Step 2: Convert to fraction form
    5,703.13/7,870.26 = 3,344.82/x
  3. Step 3: Cross multiply
    5,703.13x = 7,870.26 × 3,344.82
  4. Step 4: Simplify right side
    5,703.13x = 26,324,603.05
  5. Step 5: Solve for x
    x = 26,324,603.05/5,703.13
  6. Step 6: Final answer
    x = 4,615.82

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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.