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Finding the Fourth Proportional to 4,572.55, 6,857.74 and 1,974.07

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Solution

The fourth proportional to 4,572.55, 6,857.74 and 1,974.07 is: 2,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.55 : 6,857.74 = 1,974.07 : x
  2. Step 2: Convert to fraction form
    4,572.55/6,857.74 = 1,974.07/x
  3. Step 3: Cross multiply
    4,572.55x = 6,857.74 × 1,974.07
  4. Step 4: Simplify right side
    4,572.55x = 13,537,658.80
  5. Step 5: Solve for x
    x = 13,537,658.80/4,572.55
  6. Step 6: Final answer
    x = 2,960.64

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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.