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Finding the Fourth Proportional to 5,652.86, 8,475.24 and 1,755.14

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Solution

The fourth proportional to 5,652.86, 8,475.24 and 1,755.14 is: 2,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.86 : 8,475.24 = 1,755.14 : x
  2. Step 2: Convert to fraction form
    5,652.86/8,475.24 = 1,755.14/x
  3. Step 3: Cross multiply
    5,652.86x = 8,475.24 × 1,755.14
  4. Step 4: Simplify right side
    5,652.86x = 14,875,232.73
  5. Step 5: Solve for x
    x = 14,875,232.73/5,652.86
  6. Step 6: Final answer
    x = 2,631.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.