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Finding the Fourth Proportional to 4,677.06, 6,455.67 and 2,764.65

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Solution

The fourth proportional to 4,677.06, 6,455.67 and 2,764.65 is: 3,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.06 : 6,455.67 = 2,764.65 : x
  2. Step 2: Convert to fraction form
    4,677.06/6,455.67 = 2,764.65/x
  3. Step 3: Cross multiply
    4,677.06x = 6,455.67 × 2,764.65
  4. Step 4: Simplify right side
    4,677.06x = 17,847,668.07
  5. Step 5: Solve for x
    x = 17,847,668.07/4,677.06
  6. Step 6: Final answer
    x = 3,816.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.