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Finding the Fourth Proportional to 5,644.86, 7,785.08 and 3,406.26

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Solution

The fourth proportional to 5,644.86, 7,785.08 and 3,406.26 is: 4,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.86 : 7,785.08 = 3,406.26 : x
  2. Step 2: Convert to fraction form
    5,644.86/7,785.08 = 3,406.26/x
  3. Step 3: Cross multiply
    5,644.86x = 7,785.08 × 3,406.26
  4. Step 4: Simplify right side
    5,644.86x = 26,518,006.60
  5. Step 5: Solve for x
    x = 26,518,006.60/5,644.86
  6. Step 6: Final answer
    x = 4,697.73

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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.