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Finding the Fourth Proportional to 5,077.80, 7,610.21 and 4,416.95

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Solution

The fourth proportional to 5,077.80, 7,610.21 and 4,416.95 is: 6,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.80 : 7,610.21 = 4,416.95 : x
  2. Step 2: Convert to fraction form
    5,077.80/7,610.21 = 4,416.95/x
  3. Step 3: Cross multiply
    5,077.80x = 7,610.21 × 4,416.95
  4. Step 4: Simplify right side
    5,077.80x = 33,613,879.01
  5. Step 5: Solve for x
    x = 33,613,879.01/5,077.80
  6. Step 6: Final answer
    x = 6,619.77

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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.