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Finding the Fourth Proportional to 3,893.90, 5,840.81 and 972.18

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Solution

The fourth proportional to 3,893.90, 5,840.81 and 972.18 is: 1,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.90 : 5,840.81 = 972.18 : x
  2. Step 2: Convert to fraction form
    3,893.90/5,840.81 = 972.18/x
  3. Step 3: Cross multiply
    3,893.90x = 5,840.81 × 972.18
  4. Step 4: Simplify right side
    3,893.90x = 5,678,321.10
  5. Step 5: Solve for x
    x = 5,678,321.10/3,893.90
  6. Step 6: Final answer
    x = 1,458.26

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1.5x scale

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.