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Finding the Fourth Proportional to 5,535, 7,632.84 and 4,698

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Solution

The fourth proportional to 5,535, 7,632.84 and 4,698 is: 6,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535 : 7,632.84 = 4,698 : x
  2. Step 2: Convert to fraction form
    5,535/7,632.84 = 4,698/x
  3. Step 3: Cross multiply
    5,535x = 7,632.84 × 4,698
  4. Step 4: Simplify right side
    5,535x = 35,859,082.32
  5. Step 5: Solve for x
    x = 35,859,082.32/5,535
  6. Step 6: Final answer
    x = 6,478.61

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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.