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Finding the Fourth Proportional to 3,962.41, 5,941.60 and 1,329

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Solution

The fourth proportional to 3,962.41, 5,941.60 and 1,329 is: 1,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.41 : 5,941.60 = 1,329 : x
  2. Step 2: Convert to fraction form
    3,962.41/5,941.60 = 1,329/x
  3. Step 3: Cross multiply
    3,962.41x = 5,941.60 × 1,329
  4. Step 4: Simplify right side
    3,962.41x = 7,896,386.40
  5. Step 5: Solve for x
    x = 7,896,386.40/3,962.41
  6. Step 6: Final answer
    x = 1,992.82

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1.5x scale

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.