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Finding the Fourth Proportional to 3,872.40, 5,804.28 and 3,004.56

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Solution

The fourth proportional to 3,872.40, 5,804.28 and 3,004.56 is: 4,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.40 : 5,804.28 = 3,004.56 : x
  2. Step 2: Convert to fraction form
    3,872.40/5,804.28 = 3,004.56/x
  3. Step 3: Cross multiply
    3,872.40x = 5,804.28 × 3,004.56
  4. Step 4: Simplify right side
    3,872.40x = 17,439,307.52
  5. Step 5: Solve for x
    x = 17,439,307.52/3,872.40
  6. Step 6: Final answer
    x = 4,503.49

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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.