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Finding the Fourth Proportional to 3,718.30, 5,579.06 and 1,409.26

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Solution

The fourth proportional to 3,718.30, 5,579.06 and 1,409.26 is: 2,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.30 : 5,579.06 = 1,409.26 : x
  2. Step 2: Convert to fraction form
    3,718.30/5,579.06 = 1,409.26/x
  3. Step 3: Cross multiply
    3,718.30x = 5,579.06 × 1,409.26
  4. Step 4: Simplify right side
    3,718.30x = 7,862,346.10
  5. Step 5: Solve for x
    x = 7,862,346.10/3,718.30
  6. Step 6: Final answer
    x = 2,114.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.