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Finding the Fourth Proportional to 4,698.91, 7,057.40 and 4,509.57

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Solution

The fourth proportional to 4,698.91, 7,057.40 and 4,509.57 is: 6,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.91 : 7,057.40 = 4,509.57 : x
  2. Step 2: Convert to fraction form
    4,698.91/7,057.40 = 4,509.57/x
  3. Step 3: Cross multiply
    4,698.91x = 7,057.40 × 4,509.57
  4. Step 4: Simplify right side
    4,698.91x = 31,825,843.24
  5. Step 5: Solve for x
    x = 31,825,843.24/4,698.91
  6. Step 6: Final answer
    x = 6,773.02

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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.