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Finding the Fourth Proportional to 5,673.16, 7,829.48 and 3,155.23

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Solution

The fourth proportional to 5,673.16, 7,829.48 and 3,155.23 is: 4,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.16 : 7,829.48 = 3,155.23 : x
  2. Step 2: Convert to fraction form
    5,673.16/7,829.48 = 3,155.23/x
  3. Step 3: Cross multiply
    5,673.16x = 7,829.48 × 3,155.23
  4. Step 4: Simplify right side
    5,673.16x = 24,703,810.18
  5. Step 5: Solve for x
    x = 24,703,810.18/5,673.16
  6. Step 6: Final answer
    x = 4,354.51

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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.