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Finding the Fourth Proportional to 5,699.98, 7,859.78 and 3,706.84

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Solution

The fourth proportional to 5,699.98, 7,859.78 and 3,706.84 is: 5,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.98 : 7,859.78 = 3,706.84 : x
  2. Step 2: Convert to fraction form
    5,699.98/7,859.78 = 3,706.84/x
  3. Step 3: Cross multiply
    5,699.98x = 7,859.78 × 3,706.84
  4. Step 4: Simplify right side
    5,699.98x = 29,134,928.36
  5. Step 5: Solve for x
    x = 29,134,928.36/5,699.98
  6. Step 6: Final answer
    x = 5,111.41

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1.5x scale

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.