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Finding the Fourth Proportional to 3,505.79, 4,830.68 and 2,384.78

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Solution

The fourth proportional to 3,505.79, 4,830.68 and 2,384.78 is: 3,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.79 : 4,830.68 = 2,384.78 : x
  2. Step 2: Convert to fraction form
    3,505.79/4,830.68 = 2,384.78/x
  3. Step 3: Cross multiply
    3,505.79x = 4,830.68 × 2,384.78
  4. Step 4: Simplify right side
    3,505.79x = 11,520,097.13
  5. Step 5: Solve for x
    x = 11,520,097.13/3,505.79
  6. Step 6: Final answer
    x = 3,286.02

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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.