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Finding the Fourth Proportional to 4,564.35, 6,846.53 and 1,642.28

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Solution

The fourth proportional to 4,564.35, 6,846.53 and 1,642.28 is: 2,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.35 : 6,846.53 = 1,642.28 : x
  2. Step 2: Convert to fraction form
    4,564.35/6,846.53 = 1,642.28/x
  3. Step 3: Cross multiply
    4,564.35x = 6,846.53 × 1,642.28
  4. Step 4: Simplify right side
    4,564.35x = 11,243,876.84
  5. Step 5: Solve for x
    x = 11,243,876.84/4,564.35
  6. Step 6: Final answer
    x = 2,463.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.