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Finding the Fourth Proportional to 5,121.16, 7,681.74 and 1,658.68

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Solution

The fourth proportional to 5,121.16, 7,681.74 and 1,658.68 is: 2,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.16 : 7,681.74 = 1,658.68 : x
  2. Step 2: Convert to fraction form
    5,121.16/7,681.74 = 1,658.68/x
  3. Step 3: Cross multiply
    5,121.16x = 7,681.74 × 1,658.68
  4. Step 4: Simplify right side
    5,121.16x = 12,741,548.50
  5. Step 5: Solve for x
    x = 12,741,548.50/5,121.16
  6. Step 6: Final answer
    x = 2,488.02

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Why These Related Problems?

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