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Finding the Fourth Proportional to 3,825.51, 5,730.36 and 3,548.70

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Solution

The fourth proportional to 3,825.51, 5,730.36 and 3,548.70 is: 5,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.51 : 5,730.36 = 3,548.70 : x
  2. Step 2: Convert to fraction form
    3,825.51/5,730.36 = 3,548.70/x
  3. Step 3: Cross multiply
    3,825.51x = 5,730.36 × 3,548.70
  4. Step 4: Simplify right side
    3,825.51x = 20,335,328.53
  5. Step 5: Solve for x
    x = 20,335,328.53/3,825.51
  6. Step 6: Final answer
    x = 5,315.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.