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Finding the Fourth Proportional to 3,157.32, 4,737 and 2,063.82

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Solution

The fourth proportional to 3,157.32, 4,737 and 2,063.82 is: 3,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.32 : 4,737 = 2,063.82 : x
  2. Step 2: Convert to fraction form
    3,157.32/4,737 = 2,063.82/x
  3. Step 3: Cross multiply
    3,157.32x = 4,737 × 2,063.82
  4. Step 4: Simplify right side
    3,157.32x = 9,776,315.34
  5. Step 5: Solve for x
    x = 9,776,315.34/3,157.32
  6. Step 6: Final answer
    x = 3,096.40

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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.