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Finding the Fourth Proportional to 5,924.28, 8,174.01 and 3,407.10

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Solution

The fourth proportional to 5,924.28, 8,174.01 and 3,407.10 is: 4,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.28 : 8,174.01 = 3,407.10 : x
  2. Step 2: Convert to fraction form
    5,924.28/8,174.01 = 3,407.10/x
  3. Step 3: Cross multiply
    5,924.28x = 8,174.01 × 3,407.10
  4. Step 4: Simplify right side
    5,924.28x = 27,849,669.47
  5. Step 5: Solve for x
    x = 27,849,669.47/5,924.28
  6. Step 6: Final answer
    x = 4,700.94

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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.