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Finding the Fourth Proportional to 3,695.74, 5,541.54 and 1,229.89

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Solution

The fourth proportional to 3,695.74, 5,541.54 and 1,229.89 is: 1,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.74 : 5,541.54 = 1,229.89 : x
  2. Step 2: Convert to fraction form
    3,695.74/5,541.54 = 1,229.89/x
  3. Step 3: Cross multiply
    3,695.74x = 5,541.54 × 1,229.89
  4. Step 4: Simplify right side
    3,695.74x = 6,815,484.63
  5. Step 5: Solve for x
    x = 6,815,484.63/3,695.74
  6. Step 6: Final answer
    x = 1,844.15

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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.