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Finding the Fourth Proportional to 5,632.05, 8,448.08 and 4,174.05

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Solution

The fourth proportional to 5,632.05, 8,448.08 and 4,174.05 is: 6,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.05 : 8,448.08 = 4,174.05 : x
  2. Step 2: Convert to fraction form
    5,632.05/8,448.08 = 4,174.05/x
  3. Step 3: Cross multiply
    5,632.05x = 8,448.08 × 4,174.05
  4. Step 4: Simplify right side
    5,632.05x = 35,262,687.45
  5. Step 5: Solve for x
    x = 35,262,687.45/5,632.05
  6. Step 6: Final answer
    x = 6,261.08

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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.