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Finding the Fourth Proportional to 5,554.30, 8,342.04 and 3,219

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Solution

The fourth proportional to 5,554.30, 8,342.04 and 3,219 is: 4,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,554.30 : 8,342.04 = 3,219 : x
  2. Step 2: Convert to fraction form
    5,554.30/8,342.04 = 3,219/x
  3. Step 3: Cross multiply
    5,554.30x = 8,342.04 × 3,219
  4. Step 4: Simplify right side
    5,554.30x = 26,853,026.76
  5. Step 5: Solve for x
    x = 26,853,026.76/5,554.30
  6. Step 6: Final answer
    x = 4,834.64

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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.