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Finding the Fourth Proportional to 3,741.60, 5,158.08 and 2,560.80

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Solution

The fourth proportional to 3,741.60, 5,158.08 and 2,560.80 is: 3,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.60 : 5,158.08 = 2,560.80 : x
  2. Step 2: Convert to fraction form
    3,741.60/5,158.08 = 2,560.80/x
  3. Step 3: Cross multiply
    3,741.60x = 5,158.08 × 2,560.80
  4. Step 4: Simplify right side
    3,741.60x = 13,208,811.26
  5. Step 5: Solve for x
    x = 13,208,811.26/3,741.60
  6. Step 6: Final answer
    x = 3,530.26

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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.