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Finding the Fourth Proportional to 4,271.33, 6,407.33 and 1,349.88

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Solution

The fourth proportional to 4,271.33, 6,407.33 and 1,349.88 is: 2,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.33 : 6,407.33 = 1,349.88 : x
  2. Step 2: Convert to fraction form
    4,271.33/6,407.33 = 1,349.88/x
  3. Step 3: Cross multiply
    4,271.33x = 6,407.33 × 1,349.88
  4. Step 4: Simplify right side
    4,271.33x = 8,649,119.87
  5. Step 5: Solve for x
    x = 8,649,119.87/4,271.33
  6. Step 6: Final answer
    x = 2,024.93

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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.