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Finding the Fourth Proportional to 5,741.46, 7,923.33 and 4,483.98

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Solution

The fourth proportional to 5,741.46, 7,923.33 and 4,483.98 is: 6,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.46 : 7,923.33 = 4,483.98 : x
  2. Step 2: Convert to fraction form
    5,741.46/7,923.33 = 4,483.98/x
  3. Step 3: Cross multiply
    5,741.46x = 7,923.33 × 4,483.98
  4. Step 4: Simplify right side
    5,741.46x = 35,528,053.25
  5. Step 5: Solve for x
    x = 35,528,053.25/5,741.46
  6. Step 6: Final answer
    x = 6,187.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.