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Finding the Fourth Proportional to 3,157.65, 4,733.32 and 2,604.07

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Solution

The fourth proportional to 3,157.65, 4,733.32 and 2,604.07 is: 3,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.65 : 4,733.32 = 2,604.07 : x
  2. Step 2: Convert to fraction form
    3,157.65/4,733.32 = 2,604.07/x
  3. Step 3: Cross multiply
    3,157.65x = 4,733.32 × 2,604.07
  4. Step 4: Simplify right side
    3,157.65x = 12,325,878.77
  5. Step 5: Solve for x
    x = 12,325,878.77/3,157.65
  6. Step 6: Final answer
    x = 3,903.49

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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.