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Finding the Fourth Proportional to 4,056.26, 5,597.68 and 2,659

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Solution

The fourth proportional to 4,056.26, 5,597.68 and 2,659 is: 3,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.26 : 5,597.68 = 2,659 : x
  2. Step 2: Convert to fraction form
    4,056.26/5,597.68 = 2,659/x
  3. Step 3: Cross multiply
    4,056.26x = 5,597.68 × 2,659
  4. Step 4: Simplify right side
    4,056.26x = 14,884,231.12
  5. Step 5: Solve for x
    x = 14,884,231.12/4,056.26
  6. Step 6: Final answer
    x = 3,669.45

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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.