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Finding the Fourth Proportional to 6,177.53, 8,524.86 and 3,524.69

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Solution

The fourth proportional to 6,177.53, 8,524.86 and 3,524.69 is: 4,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.53 : 8,524.86 = 3,524.69 : x
  2. Step 2: Convert to fraction form
    6,177.53/8,524.86 = 3,524.69/x
  3. Step 3: Cross multiply
    6,177.53x = 8,524.86 × 3,524.69
  4. Step 4: Simplify right side
    6,177.53x = 30,047,488.79
  5. Step 5: Solve for x
    x = 30,047,488.79/6,177.53
  6. Step 6: Final answer
    x = 4,864.00

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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.