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Finding the Fourth Proportional to 6,176.93, 8,523.62 and 3,658.60

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Solution

The fourth proportional to 6,176.93, 8,523.62 and 3,658.60 is: 5,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.93 : 8,523.62 = 3,658.60 : x
  2. Step 2: Convert to fraction form
    6,176.93/8,523.62 = 3,658.60/x
  3. Step 3: Cross multiply
    6,176.93x = 8,523.62 × 3,658.60
  4. Step 4: Simplify right side
    6,176.93x = 31,184,473.51
  5. Step 5: Solve for x
    x = 31,184,473.51/6,176.93
  6. Step 6: Final answer
    x = 5,048.54

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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.