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Finding the Fourth Proportional to 4,696.86, 7,045.27 and 1,186.88

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Solution

The fourth proportional to 4,696.86, 7,045.27 and 1,186.88 is: 1,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.86 : 7,045.27 = 1,186.88 : x
  2. Step 2: Convert to fraction form
    4,696.86/7,045.27 = 1,186.88/x
  3. Step 3: Cross multiply
    4,696.86x = 7,045.27 × 1,186.88
  4. Step 4: Simplify right side
    4,696.86x = 8,361,890.06
  5. Step 5: Solve for x
    x = 8,361,890.06/4,696.86
  6. Step 6: Final answer
    x = 1,780.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.