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Finding the Fourth Proportional to 4,415.82, 6,623.53 and 1,295.70

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Solution

The fourth proportional to 4,415.82, 6,623.53 and 1,295.70 is: 1,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.82 : 6,623.53 = 1,295.70 : x
  2. Step 2: Convert to fraction form
    4,415.82/6,623.53 = 1,295.70/x
  3. Step 3: Cross multiply
    4,415.82x = 6,623.53 × 1,295.70
  4. Step 4: Simplify right side
    4,415.82x = 8,582,104.58
  5. Step 5: Solve for x
    x = 8,582,104.58/4,415.82
  6. Step 6: Final answer
    x = 1,943.49

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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.