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Finding the Fourth Proportional to 4,675.65, 7,014.65 and 1,388.75

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Solution

The fourth proportional to 4,675.65, 7,014.65 and 1,388.75 is: 2,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.65 : 7,014.65 = 1,388.75 : x
  2. Step 2: Convert to fraction form
    4,675.65/7,014.65 = 1,388.75/x
  3. Step 3: Cross multiply
    4,675.65x = 7,014.65 × 1,388.75
  4. Step 4: Simplify right side
    4,675.65x = 9,741,553.17
  5. Step 5: Solve for x
    x = 9,741,553.17/4,675.65
  6. Step 6: Final answer
    x = 2,083.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.