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Finding the Fourth Proportional to 4,534.58, 6,802.50 and 1,414.82

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Solution

The fourth proportional to 4,534.58, 6,802.50 and 1,414.82 is: 2,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.58 : 6,802.50 = 1,414.82 : x
  2. Step 2: Convert to fraction form
    4,534.58/6,802.50 = 1,414.82/x
  3. Step 3: Cross multiply
    4,534.58x = 6,802.50 × 1,414.82
  4. Step 4: Simplify right side
    4,534.58x = 9,624,313.05
  5. Step 5: Solve for x
    x = 9,624,313.05/4,534.58
  6. Step 6: Final answer
    x = 2,122.43

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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.