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Finding the Fourth Proportional to 5,957.60, 8,936.40 and 4,114.40

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Solution

The fourth proportional to 5,957.60, 8,936.40 and 4,114.40 is: 6,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.60 : 8,936.40 = 4,114.40 : x
  2. Step 2: Convert to fraction form
    5,957.60/8,936.40 = 4,114.40/x
  3. Step 3: Cross multiply
    5,957.60x = 8,936.40 × 4,114.40
  4. Step 4: Simplify right side
    5,957.60x = 36,767,924.16
  5. Step 5: Solve for x
    x = 36,767,924.16/5,957.60
  6. Step 6: Final answer
    x = 6,171.60

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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.