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Finding the Fourth Proportional to 5,823.48, 8,040.12 and 4,476.48

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Solution

The fourth proportional to 5,823.48, 8,040.12 and 4,476.48 is: 6,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.48 : 8,040.12 = 4,476.48 : x
  2. Step 2: Convert to fraction form
    5,823.48/8,040.12 = 4,476.48/x
  3. Step 3: Cross multiply
    5,823.48x = 8,040.12 × 4,476.48
  4. Step 4: Simplify right side
    5,823.48x = 35,991,436.38
  5. Step 5: Solve for x
    x = 35,991,436.38/5,823.48
  6. Step 6: Final answer
    x = 6,180.40

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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.