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Finding the Fourth Proportional to 4,674.36, 7,011.78 and 1,751.64

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Solution

The fourth proportional to 4,674.36, 7,011.78 and 1,751.64 is: 2,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.36 : 7,011.78 = 1,751.64 : x
  2. Step 2: Convert to fraction form
    4,674.36/7,011.78 = 1,751.64/x
  3. Step 3: Cross multiply
    4,674.36x = 7,011.78 × 1,751.64
  4. Step 4: Simplify right side
    4,674.36x = 12,282,114.32
  5. Step 5: Solve for x
    x = 12,282,114.32/4,674.36
  6. Step 6: Final answer
    x = 2,627.55

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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.