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Finding the Fourth Proportional to 4,628.98, 6,944.04 and 1,509.30

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Solution

The fourth proportional to 4,628.98, 6,944.04 and 1,509.30 is: 2,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.98 : 6,944.04 = 1,509.30 : x
  2. Step 2: Convert to fraction form
    4,628.98/6,944.04 = 1,509.30/x
  3. Step 3: Cross multiply
    4,628.98x = 6,944.04 × 1,509.30
  4. Step 4: Simplify right side
    4,628.98x = 10,480,604.85
  5. Step 5: Solve for x
    x = 10,480,604.85/4,628.98
  6. Step 6: Final answer
    x = 2,264.13

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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.