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Finding the Fourth Proportional to 5,143.48, 7,716.62 and 1,681

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Solution

The fourth proportional to 5,143.48, 7,716.62 and 1,681 is: 2,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.48 : 7,716.62 = 1,681 : x
  2. Step 2: Convert to fraction form
    5,143.48/7,716.62 = 1,681/x
  3. Step 3: Cross multiply
    5,143.48x = 7,716.62 × 1,681
  4. Step 4: Simplify right side
    5,143.48x = 12,971,638.22
  5. Step 5: Solve for x
    x = 12,971,638.22/5,143.48
  6. Step 6: Final answer
    x = 2,521.96

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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.