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Finding the Fourth Proportional to 5,608.64, 7,736 and 4,763.52

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Solution

The fourth proportional to 5,608.64, 7,736 and 4,763.52 is: 6,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.64 : 7,736 = 4,763.52 : x
  2. Step 2: Convert to fraction form
    5,608.64/7,736 = 4,763.52/x
  3. Step 3: Cross multiply
    5,608.64x = 7,736 × 4,763.52
  4. Step 4: Simplify right side
    5,608.64x = 36,850,590.72
  5. Step 5: Solve for x
    x = 36,850,590.72/5,608.64
  6. Step 6: Final answer
    x = 6,570.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.