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Finding the Fourth Proportional to 5,209.74, 7,810.83 and 2,434.86

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Solution

The fourth proportional to 5,209.74, 7,810.83 and 2,434.86 is: 3,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.74 : 7,810.83 = 2,434.86 : x
  2. Step 2: Convert to fraction form
    5,209.74/7,810.83 = 2,434.86/x
  3. Step 3: Cross multiply
    5,209.74x = 7,810.83 × 2,434.86
  4. Step 4: Simplify right side
    5,209.74x = 19,018,277.53
  5. Step 5: Solve for x
    x = 19,018,277.53/5,209.74
  6. Step 6: Final answer
    x = 3,650.52

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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.