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Finding the Fourth Proportional to 5,838.66, 8,745.12 and 4,826.52

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Solution

The fourth proportional to 5,838.66, 8,745.12 and 4,826.52 is: 7,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.66 : 8,745.12 = 4,826.52 : x
  2. Step 2: Convert to fraction form
    5,838.66/8,745.12 = 4,826.52/x
  3. Step 3: Cross multiply
    5,838.66x = 8,745.12 × 4,826.52
  4. Step 4: Simplify right side
    5,838.66x = 42,208,496.58
  5. Step 5: Solve for x
    x = 42,208,496.58/5,838.66
  6. Step 6: Final answer
    x = 7,229.14

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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.