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Finding the Fourth Proportional to 5,823.38, 8,038.29 and 3,465.47

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Solution

The fourth proportional to 5,823.38, 8,038.29 and 3,465.47 is: 4,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.38 : 8,038.29 = 3,465.47 : x
  2. Step 2: Convert to fraction form
    5,823.38/8,038.29 = 3,465.47/x
  3. Step 3: Cross multiply
    5,823.38x = 8,038.29 × 3,465.47
  4. Step 4: Simplify right side
    5,823.38x = 27,856,452.85
  5. Step 5: Solve for x
    x = 27,856,452.85/5,823.38
  6. Step 6: Final answer
    x = 4,783.55

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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.