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Finding the Fourth Proportional to 3,659.60, 5,486.70 and 1,577.90

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Solution

The fourth proportional to 3,659.60, 5,486.70 and 1,577.90 is: 2,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.60 : 5,486.70 = 1,577.90 : x
  2. Step 2: Convert to fraction form
    3,659.60/5,486.70 = 1,577.90/x
  3. Step 3: Cross multiply
    3,659.60x = 5,486.70 × 1,577.90
  4. Step 4: Simplify right side
    3,659.60x = 8,657,463.93
  5. Step 5: Solve for x
    x = 8,657,463.93/3,659.60
  6. Step 6: Final answer
    x = 2,365.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.