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Finding the Fourth Proportional to 4,497.27, 6,206.25 and 2,507.91

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Solution

The fourth proportional to 4,497.27, 6,206.25 and 2,507.91 is: 3,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.27 : 6,206.25 = 2,507.91 : x
  2. Step 2: Convert to fraction form
    4,497.27/6,206.25 = 2,507.91/x
  3. Step 3: Cross multiply
    4,497.27x = 6,206.25 × 2,507.91
  4. Step 4: Simplify right side
    4,497.27x = 15,564,716.44
  5. Step 5: Solve for x
    x = 15,564,716.44/4,497.27
  6. Step 6: Final answer
    x = 3,460.93

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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.