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Finding the Fourth Proportional to 6,176.91, 8,524.74 and 3,524.72

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Solution

The fourth proportional to 6,176.91, 8,524.74 and 3,524.72 is: 4,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.91 : 8,524.74 = 3,524.72 : x
  2. Step 2: Convert to fraction form
    6,176.91/8,524.74 = 3,524.72/x
  3. Step 3: Cross multiply
    6,176.91x = 8,524.74 × 3,524.72
  4. Step 4: Simplify right side
    6,176.91x = 30,047,292.17
  5. Step 5: Solve for x
    x = 30,047,292.17/6,176.91
  6. Step 6: Final answer
    x = 4,864.46

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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.