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Finding the Fourth Proportional to 5,195.85, 7,828.85 and 4,291.66

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Solution

The fourth proportional to 5,195.85, 7,828.85 and 4,291.66 is: 6,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.85 : 7,828.85 = 4,291.66 : x
  2. Step 2: Convert to fraction form
    5,195.85/7,828.85 = 4,291.66/x
  3. Step 3: Cross multiply
    5,195.85x = 7,828.85 × 4,291.66
  4. Step 4: Simplify right side
    5,195.85x = 33,598,762.39
  5. Step 5: Solve for x
    x = 33,598,762.39/5,195.85
  6. Step 6: Final answer
    x = 6,466.46

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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.