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Finding the Fourth Proportional to 3,755, 5,628.64 and 1,565

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Solution

The fourth proportional to 3,755, 5,628.64 and 1,565 is: 2,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755 : 5,628.64 = 1,565 : x
  2. Step 2: Convert to fraction form
    3,755/5,628.64 = 1,565/x
  3. Step 3: Cross multiply
    3,755x = 5,628.64 × 1,565
  4. Step 4: Simplify right side
    3,755x = 8,808,821.60
  5. Step 5: Solve for x
    x = 8,808,821.60/3,755
  6. Step 6: Final answer
    x = 2,345.89

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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.