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Finding the Fourth Proportional to 5,195.48, 7,828.29 and 4,291.29

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Solution

The fourth proportional to 5,195.48, 7,828.29 and 4,291.29 is: 6,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.48 : 7,828.29 = 4,291.29 : x
  2. Step 2: Convert to fraction form
    5,195.48/7,828.29 = 4,291.29/x
  3. Step 3: Cross multiply
    5,195.48x = 7,828.29 × 4,291.29
  4. Step 4: Simplify right side
    5,195.48x = 33,593,462.59
  5. Step 5: Solve for x
    x = 33,593,462.59/5,195.48
  6. Step 6: Final answer
    x = 6,465.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.