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Finding the Fourth Proportional to 3,271.53, 4,903.17 and 3,009.09

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Solution

The fourth proportional to 3,271.53, 4,903.17 and 3,009.09 is: 4,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.53 : 4,903.17 = 3,009.09 : x
  2. Step 2: Convert to fraction form
    3,271.53/4,903.17 = 3,009.09/x
  3. Step 3: Cross multiply
    3,271.53x = 4,903.17 × 3,009.09
  4. Step 4: Simplify right side
    3,271.53x = 14,754,079.82
  5. Step 5: Solve for x
    x = 14,754,079.82/3,271.53
  6. Step 6: Final answer
    x = 4,509.84

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Why These Related Problems?

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