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Finding the Fourth Proportional to 4,884.90, 7,327.86 and 1,422.16

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Solution

The fourth proportional to 4,884.90, 7,327.86 and 1,422.16 is: 2,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.90 : 7,327.86 = 1,422.16 : x
  2. Step 2: Convert to fraction form
    4,884.90/7,327.86 = 1,422.16/x
  3. Step 3: Cross multiply
    4,884.90x = 7,327.86 × 1,422.16
  4. Step 4: Simplify right side
    4,884.90x = 10,421,389.38
  5. Step 5: Solve for x
    x = 10,421,389.38/4,884.90
  6. Step 6: Final answer
    x = 2,133.39

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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.