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Finding the Fourth Proportional to 5,356.24, 7,402.44 and 4,176.08

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Solution

The fourth proportional to 5,356.24, 7,402.44 and 4,176.08 is: 5,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.24 : 7,402.44 = 4,176.08 : x
  2. Step 2: Convert to fraction form
    5,356.24/7,402.44 = 4,176.08/x
  3. Step 3: Cross multiply
    5,356.24x = 7,402.44 × 4,176.08
  4. Step 4: Simplify right side
    5,356.24x = 30,913,181.64
  5. Step 5: Solve for x
    x = 30,913,181.64/5,356.24
  6. Step 6: Final answer
    x = 5,771.43

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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.