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Finding the Fourth Proportional to 4,775.76, 7,165.32 and 1,489.68

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Solution

The fourth proportional to 4,775.76, 7,165.32 and 1,489.68 is: 2,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.76 : 7,165.32 = 1,489.68 : x
  2. Step 2: Convert to fraction form
    4,775.76/7,165.32 = 1,489.68/x
  3. Step 3: Cross multiply
    4,775.76x = 7,165.32 × 1,489.68
  4. Step 4: Simplify right side
    4,775.76x = 10,674,033.90
  5. Step 5: Solve for x
    x = 10,674,033.90/4,775.76
  6. Step 6: Final answer
    x = 2,235.04

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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.