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Finding the Fourth Proportional to 3,704.48, 5,112.48 and 2,307.44

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Solution

The fourth proportional to 3,704.48, 5,112.48 and 2,307.44 is: 3,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.48 : 5,112.48 = 2,307.44 : x
  2. Step 2: Convert to fraction form
    3,704.48/5,112.48 = 2,307.44/x
  3. Step 3: Cross multiply
    3,704.48x = 5,112.48 × 2,307.44
  4. Step 4: Simplify right side
    3,704.48x = 11,796,740.85
  5. Step 5: Solve for x
    x = 11,796,740.85/3,704.48
  6. Step 6: Final answer
    x = 3,184.45

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1.5x scale

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.