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Finding the Fourth Proportional to 3,905.02, 5,857.32 and 983.32

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Solution

The fourth proportional to 3,905.02, 5,857.32 and 983.32 is: 1,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.02 : 5,857.32 = 983.32 : x
  2. Step 2: Convert to fraction form
    3,905.02/5,857.32 = 983.32/x
  3. Step 3: Cross multiply
    3,905.02x = 5,857.32 × 983.32
  4. Step 4: Simplify right side
    3,905.02x = 5,759,619.90
  5. Step 5: Solve for x
    x = 5,759,619.90/3,905.02
  6. Step 6: Final answer
    x = 1,474.93

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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.