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Finding the Fourth Proportional to 4,940.59, 7,411.80 and 1,564.24

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Solution

The fourth proportional to 4,940.59, 7,411.80 and 1,564.24 is: 2,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.59 : 7,411.80 = 1,564.24 : x
  2. Step 2: Convert to fraction form
    4,940.59/7,411.80 = 1,564.24/x
  3. Step 3: Cross multiply
    4,940.59x = 7,411.80 × 1,564.24
  4. Step 4: Simplify right side
    4,940.59x = 11,593,814.42
  5. Step 5: Solve for x
    x = 11,593,814.42/4,940.59
  6. Step 6: Final answer
    x = 2,346.64

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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.