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Finding the Fourth Proportional to 4,890.01, 7,331.06 and 1,965.50

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Solution

The fourth proportional to 4,890.01, 7,331.06 and 1,965.50 is: 2,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.01 : 7,331.06 = 1,965.50 : x
  2. Step 2: Convert to fraction form
    4,890.01/7,331.06 = 1,965.50/x
  3. Step 3: Cross multiply
    4,890.01x = 7,331.06 × 1,965.50
  4. Step 4: Simplify right side
    4,890.01x = 14,409,188.60
  5. Step 5: Solve for x
    x = 14,409,188.60/4,890.01
  6. Step 6: Final answer
    x = 2,946.66

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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.