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Finding the Fourth Proportional to 5,756.56, 8,633.00 and 2,468.77

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Solution

The fourth proportional to 5,756.56, 8,633.00 and 2,468.77 is: 3,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.56 : 8,633.00 = 2,468.77 : x
  2. Step 2: Convert to fraction form
    5,756.56/8,633.00 = 2,468.77/x
  3. Step 3: Cross multiply
    5,756.56x = 8,633.00 × 2,468.77
  4. Step 4: Simplify right side
    5,756.56x = 21,312,876.00
  5. Step 5: Solve for x
    x = 21,312,876.00/5,756.56
  6. Step 6: Final answer
    x = 3,702.36

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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.