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Finding the Fourth Proportional to 4,817.34, 6,646.14 and 2,827.98

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Solution

The fourth proportional to 4,817.34, 6,646.14 and 2,827.98 is: 3,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.34 : 6,646.14 = 2,827.98 : x
  2. Step 2: Convert to fraction form
    4,817.34/6,646.14 = 2,827.98/x
  3. Step 3: Cross multiply
    4,817.34x = 6,646.14 × 2,827.98
  4. Step 4: Simplify right side
    4,817.34x = 18,795,151.00
  5. Step 5: Solve for x
    x = 18,795,151.00/4,817.34
  6. Step 6: Final answer
    x = 3,901.56

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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.