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Finding the Fourth Proportional to 3,698.40, 5,576.52 and 3,237.60

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Solution

The fourth proportional to 3,698.40, 5,576.52 and 3,237.60 is: 4,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.40 : 5,576.52 = 3,237.60 : x
  2. Step 2: Convert to fraction form
    3,698.40/5,576.52 = 3,237.60/x
  3. Step 3: Cross multiply
    3,698.40x = 5,576.52 × 3,237.60
  4. Step 4: Simplify right side
    3,698.40x = 18,054,541.15
  5. Step 5: Solve for x
    x = 18,054,541.15/3,698.40
  6. Step 6: Final answer
    x = 4,881.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.