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Finding the Fourth Proportional to 5,444.21, 8,145.05 and 4,780.82

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Solution

The fourth proportional to 5,444.21, 8,145.05 and 4,780.82 is: 7,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.21 : 8,145.05 = 4,780.82 : x
  2. Step 2: Convert to fraction form
    5,444.21/8,145.05 = 4,780.82/x
  3. Step 3: Cross multiply
    5,444.21x = 8,145.05 × 4,780.82
  4. Step 4: Simplify right side
    5,444.21x = 38,940,050.26
  5. Step 5: Solve for x
    x = 38,940,050.26/5,444.21
  6. Step 6: Final answer
    x = 7,152.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.