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Finding the Fourth Proportional to 5,894.32, 8,840.82 and 1,511.88

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Solution

The fourth proportional to 5,894.32, 8,840.82 and 1,511.88 is: 2,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.32 : 8,840.82 = 1,511.88 : x
  2. Step 2: Convert to fraction form
    5,894.32/8,840.82 = 1,511.88/x
  3. Step 3: Cross multiply
    5,894.32x = 8,840.82 × 1,511.88
  4. Step 4: Simplify right side
    5,894.32x = 13,366,258.94
  5. Step 5: Solve for x
    x = 13,366,258.94/5,894.32
  6. Step 6: Final answer
    x = 2,267.65

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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.