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Finding the Fourth Proportional to 4,197.09, 6,294.02 and 1,423.25

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Solution

The fourth proportional to 4,197.09, 6,294.02 and 1,423.25 is: 2,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.09 : 6,294.02 = 1,423.25 : x
  2. Step 2: Convert to fraction form
    4,197.09/6,294.02 = 1,423.25/x
  3. Step 3: Cross multiply
    4,197.09x = 6,294.02 × 1,423.25
  4. Step 4: Simplify right side
    4,197.09x = 8,957,925.38
  5. Step 5: Solve for x
    x = 8,957,925.38/4,197.09
  6. Step 6: Final answer
    x = 2,134.32

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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.