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Finding the Fourth Proportional to 5,652.86, 8,480.74 and 1,757.30

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Solution

The fourth proportional to 5,652.86, 8,480.74 and 1,757.30 is: 2,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.86 : 8,480.74 = 1,757.30 : x
  2. Step 2: Convert to fraction form
    5,652.86/8,480.74 = 1,757.30/x
  3. Step 3: Cross multiply
    5,652.86x = 8,480.74 × 1,757.30
  4. Step 4: Simplify right side
    5,652.86x = 14,903,204.40
  5. Step 5: Solve for x
    x = 14,903,204.40/5,652.86
  6. Step 6: Final answer
    x = 2,636.40

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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.