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Finding the Fourth Proportional to 4,661.12, 6,992.04 and 1,886.48

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Solution

The fourth proportional to 4,661.12, 6,992.04 and 1,886.48 is: 2,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.12 : 6,992.04 = 1,886.48 : x
  2. Step 2: Convert to fraction form
    4,661.12/6,992.04 = 1,886.48/x
  3. Step 3: Cross multiply
    4,661.12x = 6,992.04 × 1,886.48
  4. Step 4: Simplify right side
    4,661.12x = 13,190,343.62
  5. Step 5: Solve for x
    x = 13,190,343.62/4,661.12
  6. Step 6: Final answer
    x = 2,829.87

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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.