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Finding the Fourth Proportional to 4,656.69, 6,428.97 and 2,889.27

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Solution

The fourth proportional to 4,656.69, 6,428.97 and 2,889.27 is: 3,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.69 : 6,428.97 = 2,889.27 : x
  2. Step 2: Convert to fraction form
    4,656.69/6,428.97 = 2,889.27/x
  3. Step 3: Cross multiply
    4,656.69x = 6,428.97 × 2,889.27
  4. Step 4: Simplify right side
    4,656.69x = 18,575,030.15
  5. Step 5: Solve for x
    x = 18,575,030.15/4,656.69
  6. Step 6: Final answer
    x = 3,988.89

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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.