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Finding the Fourth Proportional to 4,472.33, 6,708.48 and 1,698.35

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Solution

The fourth proportional to 4,472.33, 6,708.48 and 1,698.35 is: 2,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.33 : 6,708.48 = 1,698.35 : x
  2. Step 2: Convert to fraction form
    4,472.33/6,708.48 = 1,698.35/x
  3. Step 3: Cross multiply
    4,472.33x = 6,708.48 × 1,698.35
  4. Step 4: Simplify right side
    4,472.33x = 11,393,313.47
  5. Step 5: Solve for x
    x = 11,393,313.47/4,472.33
  6. Step 6: Final answer
    x = 2,547.51

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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.