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Finding the Fourth Proportional to 8,582.98, 12,874.59 and 3,651.40

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Solution

The fourth proportional to 8,582.98, 12,874.59 and 3,651.40 is: 5,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.98 : 12,874.59 = 3,651.40 : x
  2. Step 2: Convert to fraction form
    8,582.98/12,874.59 = 3,651.40/x
  3. Step 3: Cross multiply
    8,582.98x = 12,874.59 × 3,651.40
  4. Step 4: Simplify right side
    8,582.98x = 47,010,277.93
  5. Step 5: Solve for x
    x = 47,010,277.93/8,582.98
  6. Step 6: Final answer
    x = 5,477.15

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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.