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Finding the Fourth Proportional to 5,693, 7,850.94 and 3,705.08

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Solution

The fourth proportional to 5,693, 7,850.94 and 3,705.08 is: 5,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693 : 7,850.94 = 3,705.08 : x
  2. Step 2: Convert to fraction form
    5,693/7,850.94 = 3,705.08/x
  3. Step 3: Cross multiply
    5,693x = 7,850.94 × 3,705.08
  4. Step 4: Simplify right side
    5,693x = 29,088,360.78
  5. Step 5: Solve for x
    x = 29,088,360.78/5,693
  6. Step 6: Final answer
    x = 5,109.50

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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.