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Finding the Fourth Proportional to 3,652.60, 5,479.43 and 1,152.94

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Solution

The fourth proportional to 3,652.60, 5,479.43 and 1,152.94 is: 1,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.60 : 5,479.43 = 1,152.94 : x
  2. Step 2: Convert to fraction form
    3,652.60/5,479.43 = 1,152.94/x
  3. Step 3: Cross multiply
    3,652.60x = 5,479.43 × 1,152.94
  4. Step 4: Simplify right side
    3,652.60x = 6,317,463.76
  5. Step 5: Solve for x
    x = 6,317,463.76/3,652.60
  6. Step 6: Final answer
    x = 1,729.58

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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.