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Finding the Fourth Proportional to 5,710.86, 8,548.35 and 3,633.21

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Solution

The fourth proportional to 5,710.86, 8,548.35 and 3,633.21 is: 5,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.86 : 8,548.35 = 3,633.21 : x
  2. Step 2: Convert to fraction form
    5,710.86/8,548.35 = 3,633.21/x
  3. Step 3: Cross multiply
    5,710.86x = 8,548.35 × 3,633.21
  4. Step 4: Simplify right side
    5,710.86x = 31,057,950.70
  5. Step 5: Solve for x
    x = 31,057,950.70/5,710.86
  6. Step 6: Final answer
    x = 5,438.40

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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.