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Finding the Fourth Proportional to 5,780.36, 8,675.40 and 3,008

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Solution

The fourth proportional to 5,780.36, 8,675.40 and 3,008 is: 4,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.36 : 8,675.40 = 3,008 : x
  2. Step 2: Convert to fraction form
    5,780.36/8,675.40 = 3,008/x
  3. Step 3: Cross multiply
    5,780.36x = 8,675.40 × 3,008
  4. Step 4: Simplify right side
    5,780.36x = 26,095,603.20
  5. Step 5: Solve for x
    x = 26,095,603.20/5,780.36
  6. Step 6: Final answer
    x = 4,514.53

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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.