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Finding the Fourth Proportional to 3,497.58, 5,246.55 and 900.54

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Solution

The fourth proportional to 3,497.58, 5,246.55 and 900.54 is: 1,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.58 : 5,246.55 = 900.54 : x
  2. Step 2: Convert to fraction form
    3,497.58/5,246.55 = 900.54/x
  3. Step 3: Cross multiply
    3,497.58x = 5,246.55 × 900.54
  4. Step 4: Simplify right side
    3,497.58x = 4,724,728.14
  5. Step 5: Solve for x
    x = 4,724,728.14/3,497.58
  6. Step 6: Final answer
    x = 1,350.86

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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.