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Finding the Fourth Proportional to 4,731.16, 7,096.74 and 1,652.44

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Solution

The fourth proportional to 4,731.16, 7,096.74 and 1,652.44 is: 2,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.16 : 7,096.74 = 1,652.44 : x
  2. Step 2: Convert to fraction form
    4,731.16/7,096.74 = 1,652.44/x
  3. Step 3: Cross multiply
    4,731.16x = 7,096.74 × 1,652.44
  4. Step 4: Simplify right side
    4,731.16x = 11,726,937.05
  5. Step 5: Solve for x
    x = 11,726,937.05/4,731.16
  6. Step 6: Final answer
    x = 2,478.66

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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.