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Finding the Fourth Proportional to 8,582.34, 12,878.93 and 3,651.98

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Solution

The fourth proportional to 8,582.34, 12,878.93 and 3,651.98 is: 5,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.34 : 12,878.93 = 3,651.98 : x
  2. Step 2: Convert to fraction form
    8,582.34/12,878.93 = 3,651.98/x
  3. Step 3: Cross multiply
    8,582.34x = 12,878.93 × 3,651.98
  4. Step 4: Simplify right side
    8,582.34x = 47,033,512.13
  5. Step 5: Solve for x
    x = 47,033,512.13/8,582.34
  6. Step 6: Final answer
    x = 5,480.27

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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.