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Finding the Fourth Proportional to 3,139.88, 4,709.10 and 1,409

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Solution

The fourth proportional to 3,139.88, 4,709.10 and 1,409 is: 2,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.88 : 4,709.10 = 1,409 : x
  2. Step 2: Convert to fraction form
    3,139.88/4,709.10 = 1,409/x
  3. Step 3: Cross multiply
    3,139.88x = 4,709.10 × 1,409
  4. Step 4: Simplify right side
    3,139.88x = 6,635,121.90
  5. Step 5: Solve for x
    x = 6,635,121.90/3,139.88
  6. Step 6: Final answer
    x = 2,113.18

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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.