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Finding the Fourth Proportional to 4,310.01, 6,465.02 and 2,780.73

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Solution

The fourth proportional to 4,310.01, 6,465.02 and 2,780.73 is: 4,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.01 : 6,465.02 = 2,780.73 : x
  2. Step 2: Convert to fraction form
    4,310.01/6,465.02 = 2,780.73/x
  3. Step 3: Cross multiply
    4,310.01x = 6,465.02 × 2,780.73
  4. Step 4: Simplify right side
    4,310.01x = 17,977,461.16
  5. Step 5: Solve for x
    x = 17,977,461.16/4,310.01
  6. Step 6: Final answer
    x = 4,171.10

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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.