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Finding the Fourth Proportional to 5,116.56, 7,634.93 and 4,564.95

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Solution

The fourth proportional to 5,116.56, 7,634.93 and 4,564.95 is: 6,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.56 : 7,634.93 = 4,564.95 : x
  2. Step 2: Convert to fraction form
    5,116.56/7,634.93 = 4,564.95/x
  3. Step 3: Cross multiply
    5,116.56x = 7,634.93 × 4,564.95
  4. Step 4: Simplify right side
    5,116.56x = 34,853,073.70
  5. Step 5: Solve for x
    x = 34,853,073.70/5,116.56
  6. Step 6: Final answer
    x = 6,811.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.