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Finding the Fourth Proportional to 4,498.59, 6,208.20 and 2,509.23

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Solution

The fourth proportional to 4,498.59, 6,208.20 and 2,509.23 is: 3,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.59 : 6,208.20 = 2,509.23 : x
  2. Step 2: Convert to fraction form
    4,498.59/6,208.20 = 2,509.23/x
  3. Step 3: Cross multiply
    4,498.59x = 6,208.20 × 2,509.23
  4. Step 4: Simplify right side
    4,498.59x = 15,577,801.69
  5. Step 5: Solve for x
    x = 15,577,801.69/4,498.59
  6. Step 6: Final answer
    x = 3,462.82

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