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Finding the Fourth Proportional to 4,122.83, 6,184.16 and 1,002.85

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Solution

The fourth proportional to 4,122.83, 6,184.16 and 1,002.85 is: 1,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.83 : 6,184.16 = 1,002.85 : x
  2. Step 2: Convert to fraction form
    4,122.83/6,184.16 = 1,002.85/x
  3. Step 3: Cross multiply
    4,122.83x = 6,184.16 × 1,002.85
  4. Step 4: Simplify right side
    4,122.83x = 6,201,784.86
  5. Step 5: Solve for x
    x = 6,201,784.86/4,122.83
  6. Step 6: Final answer
    x = 1,504.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.