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Finding the Fourth Proportional to 3,259.86, 4,866.07 and 3,019.22

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Solution

The fourth proportional to 3,259.86, 4,866.07 and 3,019.22 is: 4,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.86 : 4,866.07 = 3,019.22 : x
  2. Step 2: Convert to fraction form
    3,259.86/4,866.07 = 3,019.22/x
  3. Step 3: Cross multiply
    3,259.86x = 4,866.07 × 3,019.22
  4. Step 4: Simplify right side
    3,259.86x = 14,691,720.77
  5. Step 5: Solve for x
    x = 14,691,720.77/3,259.86
  6. Step 6: Final answer
    x = 4,506.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.