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Finding the Fourth Proportional to 5,829.98, 8,744.76 and 1,670.02

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Solution

The fourth proportional to 5,829.98, 8,744.76 and 1,670.02 is: 2,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.98 : 8,744.76 = 1,670.02 : x
  2. Step 2: Convert to fraction form
    5,829.98/8,744.76 = 1,670.02/x
  3. Step 3: Cross multiply
    5,829.98x = 8,744.76 × 1,670.02
  4. Step 4: Simplify right side
    5,829.98x = 14,603,902.23
  5. Step 5: Solve for x
    x = 14,603,902.23/5,829.98
  6. Step 6: Final answer
    x = 2,504.97

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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.