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Finding the Fourth Proportional to 5,703.72, 7,870.62 and 3,185.61

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Solution

The fourth proportional to 5,703.72, 7,870.62 and 3,185.61 is: 4,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.72 : 7,870.62 = 3,185.61 : x
  2. Step 2: Convert to fraction form
    5,703.72/7,870.62 = 3,185.61/x
  3. Step 3: Cross multiply
    5,703.72x = 7,870.62 × 3,185.61
  4. Step 4: Simplify right side
    5,703.72x = 25,072,725.78
  5. Step 5: Solve for x
    x = 25,072,725.78/5,703.72
  6. Step 6: Final answer
    x = 4,395.85

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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.