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Finding the Fourth Proportional to 5,853.60, 8,771.24 and 3,655.68

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Solution

The fourth proportional to 5,853.60, 8,771.24 and 3,655.68 is: 5,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.60 : 8,771.24 = 3,655.68 : x
  2. Step 2: Convert to fraction form
    5,853.60/8,771.24 = 3,655.68/x
  3. Step 3: Cross multiply
    5,853.60x = 8,771.24 × 3,655.68
  4. Step 4: Simplify right side
    5,853.60x = 32,064,846.64
  5. Step 5: Solve for x
    x = 32,064,846.64/5,853.60
  6. Step 6: Final answer
    x = 5,477.80

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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.