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Finding the Fourth Proportional to 3,578.42, 4,937.51 and 1,985.00

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Solution

The fourth proportional to 3,578.42, 4,937.51 and 1,985.00 is: 2,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.42 : 4,937.51 = 1,985.00 : x
  2. Step 2: Convert to fraction form
    3,578.42/4,937.51 = 1,985.00/x
  3. Step 3: Cross multiply
    3,578.42x = 4,937.51 × 1,985.00
  4. Step 4: Simplify right side
    3,578.42x = 9,800,922.74
  5. Step 5: Solve for x
    x = 9,800,922.74/3,578.42
  6. Step 6: Final answer
    x = 2,738.90

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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.