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Finding the Fourth Proportional to 5,632.88, 8,444.48 and 3,165.68

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Solution

The fourth proportional to 5,632.88, 8,444.48 and 3,165.68 is: 4,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.88 : 8,444.48 = 3,165.68 : x
  2. Step 2: Convert to fraction form
    5,632.88/8,444.48 = 3,165.68/x
  3. Step 3: Cross multiply
    5,632.88x = 8,444.48 × 3,165.68
  4. Step 4: Simplify right side
    5,632.88x = 26,732,521.45
  5. Step 5: Solve for x
    x = 26,732,521.45/5,632.88
  6. Step 6: Final answer
    x = 4,745.80

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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.