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Finding the Fourth Proportional to 3,582.86, 4,942.88 and 2,404.30

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Solution

The fourth proportional to 3,582.86, 4,942.88 and 2,404.30 is: 3,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.86 : 4,942.88 = 2,404.30 : x
  2. Step 2: Convert to fraction form
    3,582.86/4,942.88 = 2,404.30/x
  3. Step 3: Cross multiply
    3,582.86x = 4,942.88 × 2,404.30
  4. Step 4: Simplify right side
    3,582.86x = 11,884,166.38
  5. Step 5: Solve for x
    x = 11,884,166.38/3,582.86
  6. Step 6: Final answer
    x = 3,316.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.