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Finding the Fourth Proportional to 4,661.62, 6,992.79 and 1,886.98

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Solution

The fourth proportional to 4,661.62, 6,992.79 and 1,886.98 is: 2,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.62 : 6,992.79 = 1,886.98 : x
  2. Step 2: Convert to fraction form
    4,661.62/6,992.79 = 1,886.98/x
  3. Step 3: Cross multiply
    4,661.62x = 6,992.79 × 1,886.98
  4. Step 4: Simplify right side
    4,661.62x = 13,195,254.87
  5. Step 5: Solve for x
    x = 13,195,254.87/4,661.62
  6. Step 6: Final answer
    x = 2,830.62

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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.