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Finding the Fourth Proportional to 5,442.86, 8,164.90 and 1,932.12

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Solution

The fourth proportional to 5,442.86, 8,164.90 and 1,932.12 is: 2,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.86 : 8,164.90 = 1,932.12 : x
  2. Step 2: Convert to fraction form
    5,442.86/8,164.90 = 1,932.12/x
  3. Step 3: Cross multiply
    5,442.86x = 8,164.90 × 1,932.12
  4. Step 4: Simplify right side
    5,442.86x = 15,775,569.00
  5. Step 5: Solve for x
    x = 15,775,569.00/5,442.86
  6. Step 6: Final answer
    x = 2,898.40

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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.