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Finding the Fourth Proportional to 4,271.46, 6,409.62 and 3,411.24

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Solution

The fourth proportional to 4,271.46, 6,409.62 and 3,411.24 is: 5,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.46 : 6,409.62 = 3,411.24 : x
  2. Step 2: Convert to fraction form
    4,271.46/6,409.62 = 3,411.24/x
  3. Step 3: Cross multiply
    4,271.46x = 6,409.62 × 3,411.24
  4. Step 4: Simplify right side
    4,271.46x = 21,864,752.13
  5. Step 5: Solve for x
    x = 21,864,752.13/4,271.46
  6. Step 6: Final answer
    x = 5,118.80

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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.