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Finding the Fourth Proportional to 4,100.62, 6,150.93 and 1,910

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Solution

The fourth proportional to 4,100.62, 6,150.93 and 1,910 is: 2,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.62 : 6,150.93 = 1,910 : x
  2. Step 2: Convert to fraction form
    4,100.62/6,150.93 = 1,910/x
  3. Step 3: Cross multiply
    4,100.62x = 6,150.93 × 1,910
  4. Step 4: Simplify right side
    4,100.62x = 11,748,276.30
  5. Step 5: Solve for x
    x = 11,748,276.30/4,100.62
  6. Step 6: Final answer
    x = 2,865.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.