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Finding the Fourth Proportional to 3,653.16, 5,474 and 2,483.72

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Solution

The fourth proportional to 3,653.16, 5,474 and 2,483.72 is: 3,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.16 : 5,474 = 2,483.72 : x
  2. Step 2: Convert to fraction form
    3,653.16/5,474 = 2,483.72/x
  3. Step 3: Cross multiply
    3,653.16x = 5,474 × 2,483.72
  4. Step 4: Simplify right side
    3,653.16x = 13,595,883.28
  5. Step 5: Solve for x
    x = 13,595,883.28/3,653.16
  6. Step 6: Final answer
    x = 3,721.68

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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.