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Finding the Fourth Proportional to 5,354.76, 8,037.90 and 4,498.44

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Solution

The fourth proportional to 5,354.76, 8,037.90 and 4,498.44 is: 6,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.76 : 8,037.90 = 4,498.44 : x
  2. Step 2: Convert to fraction form
    5,354.76/8,037.90 = 4,498.44/x
  3. Step 3: Cross multiply
    5,354.76x = 8,037.90 × 4,498.44
  4. Step 4: Simplify right side
    5,354.76x = 36,158,010.88
  5. Step 5: Solve for x
    x = 36,158,010.88/5,354.76
  6. Step 6: Final answer
    x = 6,752.50

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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.