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Finding the Fourth Proportional to 4,271.78, 6,407.70 and 1,350.38

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Solution

The fourth proportional to 4,271.78, 6,407.70 and 1,350.38 is: 2,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.78 : 6,407.70 = 1,350.38 : x
  2. Step 2: Convert to fraction form
    4,271.78/6,407.70 = 1,350.38/x
  3. Step 3: Cross multiply
    4,271.78x = 6,407.70 × 1,350.38
  4. Step 4: Simplify right side
    4,271.78x = 8,652,829.93
  5. Step 5: Solve for x
    x = 8,652,829.93/4,271.78
  6. Step 6: Final answer
    x = 2,025.58

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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.