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Finding the Fourth Proportional to 3,681.78, 5,523 and 1,216.54

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Solution

The fourth proportional to 3,681.78, 5,523 and 1,216.54 is: 1,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.78 : 5,523 = 1,216.54 : x
  2. Step 2: Convert to fraction form
    3,681.78/5,523 = 1,216.54/x
  3. Step 3: Cross multiply
    3,681.78x = 5,523 × 1,216.54
  4. Step 4: Simplify right side
    3,681.78x = 6,718,950.42
  5. Step 5: Solve for x
    x = 6,718,950.42/3,681.78
  6. Step 6: Final answer
    x = 1,824.92

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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.