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Finding the Fourth Proportional to 3,384.63, 5,074.50 and 1,534.80

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Solution

The fourth proportional to 3,384.63, 5,074.50 and 1,534.80 is: 2,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.63 : 5,074.50 = 1,534.80 : x
  2. Step 2: Convert to fraction form
    3,384.63/5,074.50 = 1,534.80/x
  3. Step 3: Cross multiply
    3,384.63x = 5,074.50 × 1,534.80
  4. Step 4: Simplify right side
    3,384.63x = 7,788,342.60
  5. Step 5: Solve for x
    x = 7,788,342.60/3,384.63
  6. Step 6: Final answer
    x = 2,301.09

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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.