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Finding the Fourth Proportional to 5,652.41, 8,477.10 and 2,364.83

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Solution

The fourth proportional to 5,652.41, 8,477.10 and 2,364.83 is: 3,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.41 : 8,477.10 = 2,364.83 : x
  2. Step 2: Convert to fraction form
    5,652.41/8,477.10 = 2,364.83/x
  3. Step 3: Cross multiply
    5,652.41x = 8,477.10 × 2,364.83
  4. Step 4: Simplify right side
    5,652.41x = 20,046,858.01
  5. Step 5: Solve for x
    x = 20,046,858.01/5,652.41
  6. Step 6: Final answer
    x = 3,546.60

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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.