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Finding the Fourth Proportional to 4,807.56, 7,210.44 and 2,209.86

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Solution

The fourth proportional to 4,807.56, 7,210.44 and 2,209.86 is: 3,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.56 : 7,210.44 = 2,209.86 : x
  2. Step 2: Convert to fraction form
    4,807.56/7,210.44 = 2,209.86/x
  3. Step 3: Cross multiply
    4,807.56x = 7,210.44 × 2,209.86
  4. Step 4: Simplify right side
    4,807.56x = 15,934,062.94
  5. Step 5: Solve for x
    x = 15,934,062.94/4,807.56
  6. Step 6: Final answer
    x = 3,314.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.