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Finding the Fourth Proportional to 4,497.56, 6,205.16 and 2,507.76

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Solution

The fourth proportional to 4,497.56, 6,205.16 and 2,507.76 is: 3,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.56 : 6,205.16 = 2,507.76 : x
  2. Step 2: Convert to fraction form
    4,497.56/6,205.16 = 2,507.76/x
  3. Step 3: Cross multiply
    4,497.56x = 6,205.16 × 2,507.76
  4. Step 4: Simplify right side
    4,497.56x = 15,561,052.04
  5. Step 5: Solve for x
    x = 15,561,052.04/4,497.56
  6. Step 6: Final answer
    x = 3,459.89

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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.