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Finding the Fourth Proportional to 4,208.07, 6,312.11 and 4,201.99

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Solution

The fourth proportional to 4,208.07, 6,312.11 and 4,201.99 is: 6,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.07 : 6,312.11 = 4,201.99 : x
  2. Step 2: Convert to fraction form
    4,208.07/6,312.11 = 4,201.99/x
  3. Step 3: Cross multiply
    4,208.07x = 6,312.11 × 4,201.99
  4. Step 4: Simplify right side
    4,208.07x = 26,523,423.10
  5. Step 5: Solve for x
    x = 26,523,423.10/4,208.07
  6. Step 6: Final answer
    x = 6,302.99

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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.