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Finding the Fourth Proportional to 8,984.64, 13,478.52 and 2,744.40

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Solution

The fourth proportional to 8,984.64, 13,478.52 and 2,744.40 is: 4,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.64 : 13,478.52 = 2,744.40 : x
  2. Step 2: Convert to fraction form
    8,984.64/13,478.52 = 2,744.40/x
  3. Step 3: Cross multiply
    8,984.64x = 13,478.52 × 2,744.40
  4. Step 4: Simplify right side
    8,984.64x = 36,990,450.29
  5. Step 5: Solve for x
    x = 36,990,450.29/8,984.64
  6. Step 6: Final answer
    x = 4,117.08

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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.