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Finding the Fourth Proportional to 8,984.51, 13,477.67 and 3,442.49

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Solution

The fourth proportional to 8,984.51, 13,477.67 and 3,442.49 is: 5,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.51 : 13,477.67 = 3,442.49 : x
  2. Step 2: Convert to fraction form
    8,984.51/13,477.67 = 3,442.49/x
  3. Step 3: Cross multiply
    8,984.51x = 13,477.67 × 3,442.49
  4. Step 4: Simplify right side
    8,984.51x = 46,396,744.20
  5. Step 5: Solve for x
    x = 46,396,744.20/8,984.51
  6. Step 6: Final answer
    x = 5,164.08

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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.