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Finding the Fourth Proportional to 5,111.63, 7,661.04 and 2,186.50

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Solution

The fourth proportional to 5,111.63, 7,661.04 and 2,186.50 is: 3,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.63 : 7,661.04 = 2,186.50 : x
  2. Step 2: Convert to fraction form
    5,111.63/7,661.04 = 2,186.50/x
  3. Step 3: Cross multiply
    5,111.63x = 7,661.04 × 2,186.50
  4. Step 4: Simplify right side
    5,111.63x = 16,750,836.61
  5. Step 5: Solve for x
    x = 16,750,836.61/5,111.63
  6. Step 6: Final answer
    x = 3,277.00

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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.