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Finding the Fourth Proportional to 4,593.84, 6,883.18 and 4,210.80

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Solution

The fourth proportional to 4,593.84, 6,883.18 and 4,210.80 is: 6,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.84 : 6,883.18 = 4,210.80 : x
  2. Step 2: Convert to fraction form
    4,593.84/6,883.18 = 4,210.80/x
  3. Step 3: Cross multiply
    4,593.84x = 6,883.18 × 4,210.80
  4. Step 4: Simplify right side
    4,593.84x = 28,983,694.34
  5. Step 5: Solve for x
    x = 28,983,694.34/4,593.84
  6. Step 6: Final answer
    x = 6,309.25

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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.