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Finding the Fourth Proportional to 5,155.44, 7,714.68 and 4,464.50

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Solution

The fourth proportional to 5,155.44, 7,714.68 and 4,464.50 is: 6,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.44 : 7,714.68 = 4,464.50 : x
  2. Step 2: Convert to fraction form
    5,155.44/7,714.68 = 4,464.50/x
  3. Step 3: Cross multiply
    5,155.44x = 7,714.68 × 4,464.50
  4. Step 4: Simplify right side
    5,155.44x = 34,442,188.86
  5. Step 5: Solve for x
    x = 34,442,188.86/5,155.44
  6. Step 6: Final answer
    x = 6,680.75

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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.