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Finding the Fourth Proportional to 3,505.60, 5,258.94 and 1,657.72

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Solution

The fourth proportional to 3,505.60, 5,258.94 and 1,657.72 is: 2,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.60 : 5,258.94 = 1,657.72 : x
  2. Step 2: Convert to fraction form
    3,505.60/5,258.94 = 1,657.72/x
  3. Step 3: Cross multiply
    3,505.60x = 5,258.94 × 1,657.72
  4. Step 4: Simplify right side
    3,505.60x = 8,717,850.02
  5. Step 5: Solve for x
    x = 8,717,850.02/3,505.60
  6. Step 6: Final answer
    x = 2,486.84

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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.