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Finding the Fourth Proportional to 4,966.90, 7,454.55 and 2,047.30

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Solution

The fourth proportional to 4,966.90, 7,454.55 and 2,047.30 is: 3,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.90 : 7,454.55 = 2,047.30 : x
  2. Step 2: Convert to fraction form
    4,966.90/7,454.55 = 2,047.30/x
  3. Step 3: Cross multiply
    4,966.90x = 7,454.55 × 2,047.30
  4. Step 4: Simplify right side
    4,966.90x = 15,261,700.22
  5. Step 5: Solve for x
    x = 15,261,700.22/4,966.90
  6. Step 6: Final answer
    x = 3,072.68

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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.