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Finding the Fourth Proportional to 3,693.44, 5,541.78 and 1,745.12

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Solution

The fourth proportional to 3,693.44, 5,541.78 and 1,745.12 is: 2,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.44 : 5,541.78 = 1,745.12 : x
  2. Step 2: Convert to fraction form
    3,693.44/5,541.78 = 1,745.12/x
  3. Step 3: Cross multiply
    3,693.44x = 5,541.78 × 1,745.12
  4. Step 4: Simplify right side
    3,693.44x = 9,671,071.11
  5. Step 5: Solve for x
    x = 9,671,071.11/3,693.44
  6. Step 6: Final answer
    x = 2,618.45

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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.