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Finding the Fourth Proportional to 4,497.26, 6,206.04 and 2,507.72

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Solution

The fourth proportional to 4,497.26, 6,206.04 and 2,507.72 is: 3,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.26 : 6,206.04 = 2,507.72 : x
  2. Step 2: Convert to fraction form
    4,497.26/6,206.04 = 2,507.72/x
  3. Step 3: Cross multiply
    4,497.26x = 6,206.04 × 2,507.72
  4. Step 4: Simplify right side
    4,497.26x = 15,562,979.60
  5. Step 5: Solve for x
    x = 15,562,979.60/4,497.26
  6. Step 6: Final answer
    x = 3,460.55

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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.