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Finding the Fourth Proportional to 5,801.74, 8,009.92 and 3,677.62

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Solution

The fourth proportional to 5,801.74, 8,009.92 and 3,677.62 is: 5,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.74 : 8,009.92 = 3,677.62 : x
  2. Step 2: Convert to fraction form
    5,801.74/8,009.92 = 3,677.62/x
  3. Step 3: Cross multiply
    5,801.74x = 8,009.92 × 3,677.62
  4. Step 4: Simplify right side
    5,801.74x = 29,457,441.99
  5. Step 5: Solve for x
    x = 29,457,441.99/5,801.74
  6. Step 6: Final answer
    x = 5,077.35

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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.