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Finding the Fourth Proportional to 6,209.81, 8,569.52 and 3,484.35

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Solution

The fourth proportional to 6,209.81, 8,569.52 and 3,484.35 is: 4,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.81 : 8,569.52 = 3,484.35 : x
  2. Step 2: Convert to fraction form
    6,209.81/8,569.52 = 3,484.35/x
  3. Step 3: Cross multiply
    6,209.81x = 8,569.52 × 3,484.35
  4. Step 4: Simplify right side
    6,209.81x = 29,859,202.66
  5. Step 5: Solve for x
    x = 29,859,202.66/6,209.81
  6. Step 6: Final answer
    x = 4,808.39

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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.