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Finding the Fourth Proportional to 3,546.46, 5,319.14 and 1,985.50

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Solution

The fourth proportional to 3,546.46, 5,319.14 and 1,985.50 is: 2,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.46 : 5,319.14 = 1,985.50 : x
  2. Step 2: Convert to fraction form
    3,546.46/5,319.14 = 1,985.50/x
  3. Step 3: Cross multiply
    3,546.46x = 5,319.14 × 1,985.50
  4. Step 4: Simplify right side
    3,546.46x = 10,561,152.47
  5. Step 5: Solve for x
    x = 10,561,152.47/3,546.46
  6. Step 6: Final answer
    x = 2,977.94

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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.