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Finding the Fourth Proportional to 5,756.86, 7,898.33 and 5,478.22

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Solution

The fourth proportional to 5,756.86, 7,898.33 and 5,478.22 is: 7,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.86 : 7,898.33 = 5,478.22 : x
  2. Step 2: Convert to fraction form
    5,756.86/7,898.33 = 5,478.22/x
  3. Step 3: Cross multiply
    5,756.86x = 7,898.33 × 5,478.22
  4. Step 4: Simplify right side
    5,756.86x = 43,268,789.37
  5. Step 5: Solve for x
    x = 43,268,789.37/5,756.86
  6. Step 6: Final answer
    x = 7,516.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.