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Finding the Fourth Proportional to 4,628.98, 6,946.20 and 1,709.32

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Solution

The fourth proportional to 4,628.98, 6,946.20 and 1,709.32 is: 2,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.98 : 6,946.20 = 1,709.32 : x
  2. Step 2: Convert to fraction form
    4,628.98/6,946.20 = 1,709.32/x
  3. Step 3: Cross multiply
    4,628.98x = 6,946.20 × 1,709.32
  4. Step 4: Simplify right side
    4,628.98x = 11,873,278.58
  5. Step 5: Solve for x
    x = 11,873,278.58/4,628.98
  6. Step 6: Final answer
    x = 2,564.99

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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.