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Finding the Fourth Proportional to 5,652, 8,478.95 and 1,755.63

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Solution

The fourth proportional to 5,652, 8,478.95 and 1,755.63 is: 2,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652 : 8,478.95 = 1,755.63 : x
  2. Step 2: Convert to fraction form
    5,652/8,478.95 = 1,755.63/x
  3. Step 3: Cross multiply
    5,652x = 8,478.95 × 1,755.63
  4. Step 4: Simplify right side
    5,652x = 14,885,890.21
  5. Step 5: Solve for x
    x = 14,885,890.21/5,652
  6. Step 6: Final answer
    x = 2,633.74

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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.