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Finding the Fourth Proportional to 3,488.49, 4,821.75 and 3,065.67

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Solution

The fourth proportional to 3,488.49, 4,821.75 and 3,065.67 is: 4,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.49 : 4,821.75 = 3,065.67 : x
  2. Step 2: Convert to fraction form
    3,488.49/4,821.75 = 3,065.67/x
  3. Step 3: Cross multiply
    3,488.49x = 4,821.75 × 3,065.67
  4. Step 4: Simplify right side
    3,488.49x = 14,781,894.32
  5. Step 5: Solve for x
    x = 14,781,894.32/3,488.49
  6. Step 6: Final answer
    x = 4,237.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.