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Finding the Fourth Proportional to 8,784.20, 13,169.90 and 3,587.40

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Solution

The fourth proportional to 8,784.20, 13,169.90 and 3,587.40 is: 5,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.20 : 13,169.90 = 3,587.40 : x
  2. Step 2: Convert to fraction form
    8,784.20/13,169.90 = 3,587.40/x
  3. Step 3: Cross multiply
    8,784.20x = 13,169.90 × 3,587.40
  4. Step 4: Simplify right side
    8,784.20x = 47,245,699.26
  5. Step 5: Solve for x
    x = 47,245,699.26/8,784.20
  6. Step 6: Final answer
    x = 5,378.49

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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.