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Finding the Fourth Proportional to 4,882.86, 7,324.38 and 1,420.20

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Solution

The fourth proportional to 4,882.86, 7,324.38 and 1,420.20 is: 2,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.86 : 7,324.38 = 1,420.20 : x
  2. Step 2: Convert to fraction form
    4,882.86/7,324.38 = 1,420.20/x
  3. Step 3: Cross multiply
    4,882.86x = 7,324.38 × 1,420.20
  4. Step 4: Simplify right side
    4,882.86x = 10,402,084.48
  5. Step 5: Solve for x
    x = 10,402,084.48/4,882.86
  6. Step 6: Final answer
    x = 2,130.33

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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.