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Finding the Fourth Proportional to 4,571.52, 6,860.08 and 1,974.40

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Solution

The fourth proportional to 4,571.52, 6,860.08 and 1,974.40 is: 2,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.52 : 6,860.08 = 1,974.40 : x
  2. Step 2: Convert to fraction form
    4,571.52/6,860.08 = 1,974.40/x
  3. Step 3: Cross multiply
    4,571.52x = 6,860.08 × 1,974.40
  4. Step 4: Simplify right side
    4,571.52x = 13,544,541.95
  5. Step 5: Solve for x
    x = 13,544,541.95/4,571.52
  6. Step 6: Final answer
    x = 2,962.81

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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.