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Finding the Fourth Proportional to 4,699.20, 6,484.56 and 2,709.36

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Solution

The fourth proportional to 4,699.20, 6,484.56 and 2,709.36 is: 3,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.20 : 6,484.56 = 2,709.36 : x
  2. Step 2: Convert to fraction form
    4,699.20/6,484.56 = 2,709.36/x
  3. Step 3: Cross multiply
    4,699.20x = 6,484.56 × 2,709.36
  4. Step 4: Simplify right side
    4,699.20x = 17,569,007.48
  5. Step 5: Solve for x
    x = 17,569,007.48/4,699.20
  6. Step 6: Final answer
    x = 3,738.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.