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Finding the Fourth Proportional to 4,133.09, 6,201.17 and 1,913.00

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Solution

The fourth proportional to 4,133.09, 6,201.17 and 1,913.00 is: 2,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.09 : 6,201.17 = 1,913.00 : x
  2. Step 2: Convert to fraction form
    4,133.09/6,201.17 = 1,913.00/x
  3. Step 3: Cross multiply
    4,133.09x = 6,201.17 × 1,913.00
  4. Step 4: Simplify right side
    4,133.09x = 11,862,829.30
  5. Step 5: Solve for x
    x = 11,862,829.30/4,133.09
  6. Step 6: Final answer
    x = 2,870.21

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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.