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Finding the Fourth Proportional to 4,673.74, 7,011.52 and 1,751.98

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Solution

The fourth proportional to 4,673.74, 7,011.52 and 1,751.98 is: 2,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.74 : 7,011.52 = 1,751.98 : x
  2. Step 2: Convert to fraction form
    4,673.74/7,011.52 = 1,751.98/x
  3. Step 3: Cross multiply
    4,673.74x = 7,011.52 × 1,751.98
  4. Step 4: Simplify right side
    4,673.74x = 12,284,042.81
  5. Step 5: Solve for x
    x = 12,284,042.81/4,673.74
  6. Step 6: Final answer
    x = 2,628.31

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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.