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Finding the Fourth Proportional to 4,130.59, 6,197.41 and 1,910.50

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Solution

The fourth proportional to 4,130.59, 6,197.41 and 1,910.50 is: 2,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.59 : 6,197.41 = 1,910.50 : x
  2. Step 2: Convert to fraction form
    4,130.59/6,197.41 = 1,910.50/x
  3. Step 3: Cross multiply
    4,130.59x = 6,197.41 × 1,910.50
  4. Step 4: Simplify right side
    4,130.59x = 11,840,151.81
  5. Step 5: Solve for x
    x = 11,840,151.81/4,130.59
  6. Step 6: Final answer
    x = 2,866.46

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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.