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Finding the Fourth Proportional to 3,784.61, 5,219.80 and 2,458.74

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Solution

The fourth proportional to 3,784.61, 5,219.80 and 2,458.74 is: 3,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.61 : 5,219.80 = 2,458.74 : x
  2. Step 2: Convert to fraction form
    3,784.61/5,219.80 = 2,458.74/x
  3. Step 3: Cross multiply
    3,784.61x = 5,219.80 × 2,458.74
  4. Step 4: Simplify right side
    3,784.61x = 12,834,131.05
  5. Step 5: Solve for x
    x = 12,834,131.05/3,784.61
  6. Step 6: Final answer
    x = 3,391.14

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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.