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Finding the Fourth Proportional to 4,638.94, 6,402.62 and 3,628.64

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Solution

The fourth proportional to 4,638.94, 6,402.62 and 3,628.64 is: 5,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.94 : 6,402.62 = 3,628.64 : x
  2. Step 2: Convert to fraction form
    4,638.94/6,402.62 = 3,628.64/x
  3. Step 3: Cross multiply
    4,638.94x = 6,402.62 × 3,628.64
  4. Step 4: Simplify right side
    4,638.94x = 23,232,828.11
  5. Step 5: Solve for x
    x = 23,232,828.11/4,638.94
  6. Step 6: Final answer
    x = 5,008.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.