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Finding the Fourth Proportional to 4,652.60, 6,976.68 and 1,804.41

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Solution

The fourth proportional to 4,652.60, 6,976.68 and 1,804.41 is: 2,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.60 : 6,976.68 = 1,804.41 : x
  2. Step 2: Convert to fraction form
    4,652.60/6,976.68 = 1,804.41/x
  3. Step 3: Cross multiply
    4,652.60x = 6,976.68 × 1,804.41
  4. Step 4: Simplify right side
    4,652.60x = 12,588,756.28
  5. Step 5: Solve for x
    x = 12,588,756.28/4,652.60
  6. Step 6: Final answer
    x = 2,705.75

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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.