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Finding the Fourth Proportional to 4,210.80, 5,809.02 and 2,531.22

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Solution

The fourth proportional to 4,210.80, 5,809.02 and 2,531.22 is: 3,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.80 : 5,809.02 = 2,531.22 : x
  2. Step 2: Convert to fraction form
    4,210.80/5,809.02 = 2,531.22/x
  3. Step 3: Cross multiply
    4,210.80x = 5,809.02 × 2,531.22
  4. Step 4: Simplify right side
    4,210.80x = 14,703,907.60
  5. Step 5: Solve for x
    x = 14,703,907.60/4,210.80
  6. Step 6: Final answer
    x = 3,491.95

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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.