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Finding the Fourth Proportional to 4,271.79, 6,407.69 and 2,191.41

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Solution

The fourth proportional to 4,271.79, 6,407.69 and 2,191.41 is: 3,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.79 : 6,407.69 = 2,191.41 : x
  2. Step 2: Convert to fraction form
    4,271.79/6,407.69 = 2,191.41/x
  3. Step 3: Cross multiply
    4,271.79x = 6,407.69 × 2,191.41
  4. Step 4: Simplify right side
    4,271.79x = 14,041,875.94
  5. Step 5: Solve for x
    x = 14,041,875.94/4,271.79
  6. Step 6: Final answer
    x = 3,287.12

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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.