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Finding the Fourth Proportional to 5,055.88, 7,582.29 and 1,678

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Solution

The fourth proportional to 5,055.88, 7,582.29 and 1,678 is: 2,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.88 : 7,582.29 = 1,678 : x
  2. Step 2: Convert to fraction form
    5,055.88/7,582.29 = 1,678/x
  3. Step 3: Cross multiply
    5,055.88x = 7,582.29 × 1,678
  4. Step 4: Simplify right side
    5,055.88x = 12,723,082.62
  5. Step 5: Solve for x
    x = 12,723,082.62/5,055.88
  6. Step 6: Final answer
    x = 2,516.49

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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.