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Finding the Fourth Proportional to 5,614.71, 8,440.52 and 5,208.75

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Solution

The fourth proportional to 5,614.71, 8,440.52 and 5,208.75 is: 7,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.71 : 8,440.52 = 5,208.75 : x
  2. Step 2: Convert to fraction form
    5,614.71/8,440.52 = 5,208.75/x
  3. Step 3: Cross multiply
    5,614.71x = 8,440.52 × 5,208.75
  4. Step 4: Simplify right side
    5,614.71x = 43,964,532.51
  5. Step 5: Solve for x
    x = 43,964,532.51/5,614.71
  6. Step 6: Final answer
    x = 7,830.24

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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.