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Finding the Fourth Proportional to 5,193.33, 7,779.49 and 3,946.13

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Solution

The fourth proportional to 5,193.33, 7,779.49 and 3,946.13 is: 5,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.33 : 7,779.49 = 3,946.13 : x
  2. Step 2: Convert to fraction form
    5,193.33/7,779.49 = 3,946.13/x
  3. Step 3: Cross multiply
    5,193.33x = 7,779.49 × 3,946.13
  4. Step 4: Simplify right side
    5,193.33x = 30,698,878.87
  5. Step 5: Solve for x
    x = 30,698,878.87/5,193.33
  6. Step 6: Final answer
    x = 5,911.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.