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Finding the Fourth Proportional to 5,674.20, 7,829.82 and 5,256.24

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Solution

The fourth proportional to 5,674.20, 7,829.82 and 5,256.24 is: 7,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.20 : 7,829.82 = 5,256.24 : x
  2. Step 2: Convert to fraction form
    5,674.20/7,829.82 = 5,256.24/x
  3. Step 3: Cross multiply
    5,674.20x = 7,829.82 × 5,256.24
  4. Step 4: Simplify right side
    5,674.20x = 41,155,413.08
  5. Step 5: Solve for x
    x = 41,155,413.08/5,674.20
  6. Step 6: Final answer
    x = 7,253.08

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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.