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Finding the Fourth Proportional to 3,214.59, 4,825.97 and 2,484.63

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Solution

The fourth proportional to 3,214.59, 4,825.97 and 2,484.63 is: 3,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.59 : 4,825.97 = 2,484.63 : x
  2. Step 2: Convert to fraction form
    3,214.59/4,825.97 = 2,484.63/x
  3. Step 3: Cross multiply
    3,214.59x = 4,825.97 × 2,484.63
  4. Step 4: Simplify right side
    3,214.59x = 11,990,737.42
  5. Step 5: Solve for x
    x = 11,990,737.42/3,214.59
  6. Step 6: Final answer
    x = 3,730.10

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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.