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Finding the Fourth Proportional to 3,904.83, 5,857.16 and 983.16

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Solution

The fourth proportional to 3,904.83, 5,857.16 and 983.16 is: 1,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.83 : 5,857.16 = 983.16 : x
  2. Step 2: Convert to fraction form
    3,904.83/5,857.16 = 983.16/x
  3. Step 3: Cross multiply
    3,904.83x = 5,857.16 × 983.16
  4. Step 4: Simplify right side
    3,904.83x = 5,758,520.51
  5. Step 5: Solve for x
    x = 5,758,520.51/3,904.83
  6. Step 6: Final answer
    x = 1,474.72

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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.