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Finding the Fourth Proportional to 4,560.97, 6,294.14 and 2,465.10

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Solution

The fourth proportional to 4,560.97, 6,294.14 and 2,465.10 is: 3,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.97 : 6,294.14 = 2,465.10 : x
  2. Step 2: Convert to fraction form
    4,560.97/6,294.14 = 2,465.10/x
  3. Step 3: Cross multiply
    4,560.97x = 6,294.14 × 2,465.10
  4. Step 4: Simplify right side
    4,560.97x = 15,515,646.88
  5. Step 5: Solve for x
    x = 15,515,646.88/4,560.97
  6. Step 6: Final answer
    x = 3,401.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.