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Finding the Fourth Proportional to 4,205.44, 6,309.44 and 2,470.40

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Solution

The fourth proportional to 4,205.44, 6,309.44 and 2,470.40 is: 3,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.44 : 6,309.44 = 2,470.40 : x
  2. Step 2: Convert to fraction form
    4,205.44/6,309.44 = 2,470.40/x
  3. Step 3: Cross multiply
    4,205.44x = 6,309.44 × 2,470.40
  4. Step 4: Simplify right side
    4,205.44x = 15,586,840.58
  5. Step 5: Solve for x
    x = 15,586,840.58/4,205.44
  6. Step 6: Final answer
    x = 3,706.35

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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.