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Finding the Fourth Proportional to 5,823.41, 8,035.07 and 3,465.09

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Solution

The fourth proportional to 5,823.41, 8,035.07 and 3,465.09 is: 4,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.41 : 8,035.07 = 3,465.09 : x
  2. Step 2: Convert to fraction form
    5,823.41/8,035.07 = 3,465.09/x
  3. Step 3: Cross multiply
    5,823.41x = 8,035.07 × 3,465.09
  4. Step 4: Simplify right side
    5,823.41x = 27,842,223.38
  5. Step 5: Solve for x
    x = 27,842,223.38/5,823.41
  6. Step 6: Final answer
    x = 4,781.09

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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.