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Finding the Fourth Proportional to 4,802.86, 6,625.59 and 3,209.89

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Solution

The fourth proportional to 4,802.86, 6,625.59 and 3,209.89 is: 4,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.86 : 6,625.59 = 3,209.89 : x
  2. Step 2: Convert to fraction form
    4,802.86/6,625.59 = 3,209.89/x
  3. Step 3: Cross multiply
    4,802.86x = 6,625.59 × 3,209.89
  4. Step 4: Simplify right side
    4,802.86x = 21,267,415.09
  5. Step 5: Solve for x
    x = 21,267,415.09/4,802.86
  6. Step 6: Final answer
    x = 4,428.07

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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.