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Finding the Fourth Proportional to 3,256.57, 4,887.59 and 1,409.10

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Solution

The fourth proportional to 3,256.57, 4,887.59 and 1,409.10 is: 2,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.57 : 4,887.59 = 1,409.10 : x
  2. Step 2: Convert to fraction form
    3,256.57/4,887.59 = 1,409.10/x
  3. Step 3: Cross multiply
    3,256.57x = 4,887.59 × 1,409.10
  4. Step 4: Simplify right side
    3,256.57x = 6,887,085.62
  5. Step 5: Solve for x
    x = 6,887,085.62/3,256.57
  6. Step 6: Final answer
    x = 2,114.83

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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.