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Finding the Fourth Proportional to 5,673.26, 7,823.40 and 3,784.88

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Solution

The fourth proportional to 5,673.26, 7,823.40 and 3,784.88 is: 5,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.26 : 7,823.40 = 3,784.88 : x
  2. Step 2: Convert to fraction form
    5,673.26/7,823.40 = 3,784.88/x
  3. Step 3: Cross multiply
    5,673.26x = 7,823.40 × 3,784.88
  4. Step 4: Simplify right side
    5,673.26x = 29,610,630.19
  5. Step 5: Solve for x
    x = 29,610,630.19/5,673.26
  6. Step 6: Final answer
    x = 5,219.33

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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.