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Finding the Fourth Proportional to 3,798.40, 5,697.95 and 1,025.01

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Solution

The fourth proportional to 3,798.40, 5,697.95 and 1,025.01 is: 1,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.40 : 5,697.95 = 1,025.01 : x
  2. Step 2: Convert to fraction form
    3,798.40/5,697.95 = 1,025.01/x
  3. Step 3: Cross multiply
    3,798.40x = 5,697.95 × 1,025.01
  4. Step 4: Simplify right side
    3,798.40x = 5,840,455.73
  5. Step 5: Solve for x
    x = 5,840,455.73/3,798.40
  6. Step 6: Final answer
    x = 1,537.61

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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.