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Finding the Fourth Proportional to 4,655.96, 6,425.16 and 2,560.22

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Solution

The fourth proportional to 4,655.96, 6,425.16 and 2,560.22 is: 3,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.96 : 6,425.16 = 2,560.22 : x
  2. Step 2: Convert to fraction form
    4,655.96/6,425.16 = 2,560.22/x
  3. Step 3: Cross multiply
    4,655.96x = 6,425.16 × 2,560.22
  4. Step 4: Simplify right side
    4,655.96x = 16,449,823.14
  5. Step 5: Solve for x
    x = 16,449,823.14/4,655.96
  6. Step 6: Final answer
    x = 3,533.07

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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.