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Finding the Fourth Proportional to 5,342.40, 7,994.70 and 4,656.60

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Solution

The fourth proportional to 5,342.40, 7,994.70 and 4,656.60 is: 6,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.40 : 7,994.70 = 4,656.60 : x
  2. Step 2: Convert to fraction form
    5,342.40/7,994.70 = 4,656.60/x
  3. Step 3: Cross multiply
    5,342.40x = 7,994.70 × 4,656.60
  4. Step 4: Simplify right side
    5,342.40x = 37,228,120.02
  5. Step 5: Solve for x
    x = 37,228,120.02/5,342.40
  6. Step 6: Final answer
    x = 6,968.43

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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.