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Finding the Fourth Proportional to 3,893.92, 5,840.76 and 972.16

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Solution

The fourth proportional to 3,893.92, 5,840.76 and 972.16 is: 1,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.92 : 5,840.76 = 972.16 : x
  2. Step 2: Convert to fraction form
    3,893.92/5,840.76 = 972.16/x
  3. Step 3: Cross multiply
    3,893.92x = 5,840.76 × 972.16
  4. Step 4: Simplify right side
    3,893.92x = 5,678,153.24
  5. Step 5: Solve for x
    x = 5,678,153.24/3,893.92
  6. Step 6: Final answer
    x = 1,458.21

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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.