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Finding the Fourth Proportional to 4,498.94, 6,208.66 and 2,509.42

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Solution

The fourth proportional to 4,498.94, 6,208.66 and 2,509.42 is: 3,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.94 : 6,208.66 = 2,509.42 : x
  2. Step 2: Convert to fraction form
    4,498.94/6,208.66 = 2,509.42/x
  3. Step 3: Cross multiply
    4,498.94x = 6,208.66 × 2,509.42
  4. Step 4: Simplify right side
    4,498.94x = 15,580,135.58
  5. Step 5: Solve for x
    x = 15,580,135.58/4,498.94
  6. Step 6: Final answer
    x = 3,463.07

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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.