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Finding the Fourth Proportional to 5,689.25, 7,847.33 and 4,941.91

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Solution

The fourth proportional to 5,689.25, 7,847.33 and 4,941.91 is: 6,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.25 : 7,847.33 = 4,941.91 : x
  2. Step 2: Convert to fraction form
    5,689.25/7,847.33 = 4,941.91/x
  3. Step 3: Cross multiply
    5,689.25x = 7,847.33 × 4,941.91
  4. Step 4: Simplify right side
    5,689.25x = 38,780,811.50
  5. Step 5: Solve for x
    x = 38,780,811.50/5,689.25
  6. Step 6: Final answer
    x = 6,816.50

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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.