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Finding the Fourth Proportional to 4,638.48, 6,402.29 and 2,869.08

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Solution

The fourth proportional to 4,638.48, 6,402.29 and 2,869.08 is: 3,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.48 : 6,402.29 = 2,869.08 : x
  2. Step 2: Convert to fraction form
    4,638.48/6,402.29 = 2,869.08/x
  3. Step 3: Cross multiply
    4,638.48x = 6,402.29 × 2,869.08
  4. Step 4: Simplify right side
    4,638.48x = 18,368,682.19
  5. Step 5: Solve for x
    x = 18,368,682.19/4,638.48
  6. Step 6: Final answer
    x = 3,960.06

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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.