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Finding the Fourth Proportional to 5,703.54, 7,874.13 and 4,004.66

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Solution

The fourth proportional to 5,703.54, 7,874.13 and 4,004.66 is: 5,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.54 : 7,874.13 = 4,004.66 : x
  2. Step 2: Convert to fraction form
    5,703.54/7,874.13 = 4,004.66/x
  3. Step 3: Cross multiply
    5,703.54x = 7,874.13 × 4,004.66
  4. Step 4: Simplify right side
    5,703.54x = 31,533,213.45
  5. Step 5: Solve for x
    x = 31,533,213.45/5,703.54
  6. Step 6: Final answer
    x = 5,528.71

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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.