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Finding the Fourth Proportional to 3,096.24, 4,643.86 and 904.44

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Solution

The fourth proportional to 3,096.24, 4,643.86 and 904.44 is: 1,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.24 : 4,643.86 = 904.44 : x
  2. Step 2: Convert to fraction form
    3,096.24/4,643.86 = 904.44/x
  3. Step 3: Cross multiply
    3,096.24x = 4,643.86 × 904.44
  4. Step 4: Simplify right side
    3,096.24x = 4,200,092.74
  5. Step 5: Solve for x
    x = 4,200,092.74/3,096.24
  6. Step 6: Final answer
    x = 1,356.51

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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.