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Finding the Fourth Proportional to 5,698.62, 7,863.95 and 3,705.41

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Solution

The fourth proportional to 5,698.62, 7,863.95 and 3,705.41 is: 5,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.62 : 7,863.95 = 3,705.41 : x
  2. Step 2: Convert to fraction form
    5,698.62/7,863.95 = 3,705.41/x
  3. Step 3: Cross multiply
    5,698.62x = 7,863.95 × 3,705.41
  4. Step 4: Simplify right side
    5,698.62x = 29,139,187.89
  5. Step 5: Solve for x
    x = 29,139,187.89/5,698.62
  6. Step 6: Final answer
    x = 5,113.38

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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.