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Finding the Fourth Proportional to 5,069.98, 6,988.62 and 4,662.65

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Solution

The fourth proportional to 5,069.98, 6,988.62 and 4,662.65 is: 6,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.98 : 6,988.62 = 4,662.65 : x
  2. Step 2: Convert to fraction form
    5,069.98/6,988.62 = 4,662.65/x
  3. Step 3: Cross multiply
    5,069.98x = 6,988.62 × 4,662.65
  4. Step 4: Simplify right side
    5,069.98x = 32,585,471.58
  5. Step 5: Solve for x
    x = 32,585,471.58/5,069.98
  6. Step 6: Final answer
    x = 6,427.14

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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.