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Finding the Fourth Proportional to 5,582.30, 8,370.64 and 2,294.50

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Solution

The fourth proportional to 5,582.30, 8,370.64 and 2,294.50 is: 3,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.30 : 8,370.64 = 2,294.50 : x
  2. Step 2: Convert to fraction form
    5,582.30/8,370.64 = 2,294.50/x
  3. Step 3: Cross multiply
    5,582.30x = 8,370.64 × 2,294.50
  4. Step 4: Simplify right side
    5,582.30x = 19,206,433.48
  5. Step 5: Solve for x
    x = 19,206,433.48/5,582.30
  6. Step 6: Final answer
    x = 3,440.60

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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.