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Finding the Fourth Proportional to 5,121.68, 7,680.56 and 1,658

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Solution

The fourth proportional to 5,121.68, 7,680.56 and 1,658 is: 2,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.68 : 7,680.56 = 1,658 : x
  2. Step 2: Convert to fraction form
    5,121.68/7,680.56 = 1,658/x
  3. Step 3: Cross multiply
    5,121.68x = 7,680.56 × 1,658
  4. Step 4: Simplify right side
    5,121.68x = 12,734,368.48
  5. Step 5: Solve for x
    x = 12,734,368.48/5,121.68
  6. Step 6: Final answer
    x = 2,486.37

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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.