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Finding the Fourth Proportional to 5,828.30, 8,027.07 and 5,720.30

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Solution

The fourth proportional to 5,828.30, 8,027.07 and 5,720.30 is: 7,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.30 : 8,027.07 = 5,720.30 : x
  2. Step 2: Convert to fraction form
    5,828.30/8,027.07 = 5,720.30/x
  3. Step 3: Cross multiply
    5,828.30x = 8,027.07 × 5,720.30
  4. Step 4: Simplify right side
    5,828.30x = 45,917,248.52
  5. Step 5: Solve for x
    x = 45,917,248.52/5,828.30
  6. Step 6: Final answer
    x = 7,878.33

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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.