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Finding the Fourth Proportional to 4,706.40, 6,481.70 and 4,604.34

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Solution

The fourth proportional to 4,706.40, 6,481.70 and 4,604.34 is: 6,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.40 : 6,481.70 = 4,604.34 : x
  2. Step 2: Convert to fraction form
    4,706.40/6,481.70 = 4,604.34/x
  3. Step 3: Cross multiply
    4,706.40x = 6,481.70 × 4,604.34
  4. Step 4: Simplify right side
    4,706.40x = 29,843,950.58
  5. Step 5: Solve for x
    x = 29,843,950.58/4,706.40
  6. Step 6: Final answer
    x = 6,341.14

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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.