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Finding the Fourth Proportional to 3,271.02, 4,512.06 and 3,052.32

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Solution

The fourth proportional to 3,271.02, 4,512.06 and 3,052.32 is: 4,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.02 : 4,512.06 = 3,052.32 : x
  2. Step 2: Convert to fraction form
    3,271.02/4,512.06 = 3,052.32/x
  3. Step 3: Cross multiply
    3,271.02x = 4,512.06 × 3,052.32
  4. Step 4: Simplify right side
    3,271.02x = 13,772,250.98
  5. Step 5: Solve for x
    x = 13,772,250.98/3,271.02
  6. Step 6: Final answer
    x = 4,210.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.