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Finding the Fourth Proportional to 5,957.64, 8,936.28 and 2,009.16

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Solution

The fourth proportional to 5,957.64, 8,936.28 and 2,009.16 is: 3,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.64 : 8,936.28 = 2,009.16 : x
  2. Step 2: Convert to fraction form
    5,957.64/8,936.28 = 2,009.16/x
  3. Step 3: Cross multiply
    5,957.64x = 8,936.28 × 2,009.16
  4. Step 4: Simplify right side
    5,957.64x = 17,954,416.32
  5. Step 5: Solve for x
    x = 17,954,416.32/5,957.64
  6. Step 6: Final answer
    x = 3,013.68

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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.