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Finding the Fourth Proportional to 5,501.94, 7,588.44 and 3,823.32

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Solution

The fourth proportional to 5,501.94, 7,588.44 and 3,823.32 is: 5,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501.94 : 7,588.44 = 3,823.32 : x
  2. Step 2: Convert to fraction form
    5,501.94/7,588.44 = 3,823.32/x
  3. Step 3: Cross multiply
    5,501.94x = 7,588.44 × 3,823.32
  4. Step 4: Simplify right side
    5,501.94x = 29,013,034.42
  5. Step 5: Solve for x
    x = 29,013,034.42/5,501.94
  6. Step 6: Final answer
    x = 5,273.24

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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.