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Finding the Fourth Proportional to 3,874.86, 5,347.35 and 2,281.86

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Solution

The fourth proportional to 3,874.86, 5,347.35 and 2,281.86 is: 3,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.86 : 5,347.35 = 2,281.86 : x
  2. Step 2: Convert to fraction form
    3,874.86/5,347.35 = 2,281.86/x
  3. Step 3: Cross multiply
    3,874.86x = 5,347.35 × 2,281.86
  4. Step 4: Simplify right side
    3,874.86x = 12,201,904.07
  5. Step 5: Solve for x
    x = 12,201,904.07/3,874.86
  6. Step 6: Final answer
    x = 3,148.99

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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.