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Finding the Fourth Proportional to 5,480.41, 8,206.02 and 4,282.51

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Solution

The fourth proportional to 5,480.41, 8,206.02 and 4,282.51 is: 6,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.41 : 8,206.02 = 4,282.51 : x
  2. Step 2: Convert to fraction form
    5,480.41/8,206.02 = 4,282.51/x
  3. Step 3: Cross multiply
    5,480.41x = 8,206.02 × 4,282.51
  4. Step 4: Simplify right side
    5,480.41x = 35,142,362.71
  5. Step 5: Solve for x
    x = 35,142,362.71/5,480.41
  6. Step 6: Final answer
    x = 6,412.36

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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.