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Finding the Fourth Proportional to 3,139.24, 4,709.50 and 918.07

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Solution

The fourth proportional to 3,139.24, 4,709.50 and 918.07 is: 1,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.24 : 4,709.50 = 918.07 : x
  2. Step 2: Convert to fraction form
    3,139.24/4,709.50 = 918.07/x
  3. Step 3: Cross multiply
    3,139.24x = 4,709.50 × 918.07
  4. Step 4: Simplify right side
    3,139.24x = 4,323,650.67
  5. Step 5: Solve for x
    x = 4,323,650.67/3,139.24
  6. Step 6: Final answer
    x = 1,377.29

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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.