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Finding the Fourth Proportional to 4,548.70, 6,823.37 and 1,774.45

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Solution

The fourth proportional to 4,548.70, 6,823.37 and 1,774.45 is: 2,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.70 : 6,823.37 = 1,774.45 : x
  2. Step 2: Convert to fraction form
    4,548.70/6,823.37 = 1,774.45/x
  3. Step 3: Cross multiply
    4,548.70x = 6,823.37 × 1,774.45
  4. Step 4: Simplify right side
    4,548.70x = 12,107,720.02
  5. Step 5: Solve for x
    x = 12,107,720.02/4,548.70
  6. Step 6: Final answer
    x = 2,661.80

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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.