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Finding the Fourth Proportional to 5,681.34, 8,521.71 and 1,983.49

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Solution

The fourth proportional to 5,681.34, 8,521.71 and 1,983.49 is: 2,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.34 : 8,521.71 = 1,983.49 : x
  2. Step 2: Convert to fraction form
    5,681.34/8,521.71 = 1,983.49/x
  3. Step 3: Cross multiply
    5,681.34x = 8,521.71 × 1,983.49
  4. Step 4: Simplify right side
    5,681.34x = 16,902,697.83
  5. Step 5: Solve for x
    x = 16,902,697.83/5,681.34
  6. Step 6: Final answer
    x = 2,975.13

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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.