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Finding the Fourth Proportional to 4,208.07, 6,316.98 and 2,264.07

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Solution

The fourth proportional to 4,208.07, 6,316.98 and 2,264.07 is: 3,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.07 : 6,316.98 = 2,264.07 : x
  2. Step 2: Convert to fraction form
    4,208.07/6,316.98 = 2,264.07/x
  3. Step 3: Cross multiply
    4,208.07x = 6,316.98 × 2,264.07
  4. Step 4: Simplify right side
    4,208.07x = 14,302,084.91
  5. Step 5: Solve for x
    x = 14,302,084.91/4,208.07
  6. Step 6: Final answer
    x = 3,398.73

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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.