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Finding the Fourth Proportional to 4,658.04, 6,427.80 and 2,889

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Solution

The fourth proportional to 4,658.04, 6,427.80 and 2,889 is: 3,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.04 : 6,427.80 = 2,889 : x
  2. Step 2: Convert to fraction form
    4,658.04/6,427.80 = 2,889/x
  3. Step 3: Cross multiply
    4,658.04x = 6,427.80 × 2,889
  4. Step 4: Simplify right side
    4,658.04x = 18,569,914.20
  5. Step 5: Solve for x
    x = 18,569,914.20/4,658.04
  6. Step 6: Final answer
    x = 3,986.64

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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.