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Finding the Fourth Proportional to 5,405.71, 8,097.33 and 4,748.40

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Solution

The fourth proportional to 5,405.71, 8,097.33 and 4,748.40 is: 7,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.71 : 8,097.33 = 4,748.40 : x
  2. Step 2: Convert to fraction form
    5,405.71/8,097.33 = 4,748.40/x
  3. Step 3: Cross multiply
    5,405.71x = 8,097.33 × 4,748.40
  4. Step 4: Simplify right side
    5,405.71x = 38,449,361.77
  5. Step 5: Solve for x
    x = 38,449,361.77/5,405.71
  6. Step 6: Final answer
    x = 7,112.73

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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.