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Finding the Fourth Proportional to 3,759.84, 5,142.54 and 3,699.36

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Solution

The fourth proportional to 3,759.84, 5,142.54 and 3,699.36 is: 5,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.84 : 5,142.54 = 3,699.36 : x
  2. Step 2: Convert to fraction form
    3,759.84/5,142.54 = 3,699.36/x
  3. Step 3: Cross multiply
    3,759.84x = 5,142.54 × 3,699.36
  4. Step 4: Simplify right side
    3,759.84x = 19,024,106.77
  5. Step 5: Solve for x
    x = 19,024,106.77/3,759.84
  6. Step 6: Final answer
    x = 5,059.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.