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Finding the Fourth Proportional to 4,662.42, 6,994.66 and 1,543.40

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Solution

The fourth proportional to 4,662.42, 6,994.66 and 1,543.40 is: 2,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.42 : 6,994.66 = 1,543.40 : x
  2. Step 2: Convert to fraction form
    4,662.42/6,994.66 = 1,543.40/x
  3. Step 3: Cross multiply
    4,662.42x = 6,994.66 × 1,543.40
  4. Step 4: Simplify right side
    4,662.42x = 10,795,558.24
  5. Step 5: Solve for x
    x = 10,795,558.24/4,662.42
  6. Step 6: Final answer
    x = 2,315.44

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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.