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Finding the Fourth Proportional to 3,700.48, 5,546 and 1,506.64

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Solution

The fourth proportional to 3,700.48, 5,546 and 1,506.64 is: 2,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.48 : 5,546 = 1,506.64 : x
  2. Step 2: Convert to fraction form
    3,700.48/5,546 = 1,506.64/x
  3. Step 3: Cross multiply
    3,700.48x = 5,546 × 1,506.64
  4. Step 4: Simplify right side
    3,700.48x = 8,355,825.44
  5. Step 5: Solve for x
    x = 8,355,825.44/3,700.48
  6. Step 6: Final answer
    x = 2,258.04

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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.