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Finding the Fourth Proportional to 3,259.16, 4,887.71 and 1,409.09

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Solution

The fourth proportional to 3,259.16, 4,887.71 and 1,409.09 is: 2,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.16 : 4,887.71 = 1,409.09 : x
  2. Step 2: Convert to fraction form
    3,259.16/4,887.71 = 1,409.09/x
  3. Step 3: Cross multiply
    3,259.16x = 4,887.71 × 1,409.09
  4. Step 4: Simplify right side
    3,259.16x = 6,887,191.80
  5. Step 5: Solve for x
    x = 6,887,191.80/3,259.16
  6. Step 6: Final answer
    x = 2,113.18

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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.