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Finding the Fourth Proportional to 4,118.60, 6,176.10 and 1,652.60

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Solution

The fourth proportional to 4,118.60, 6,176.10 and 1,652.60 is: 2,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.60 : 6,176.10 = 1,652.60 : x
  2. Step 2: Convert to fraction form
    4,118.60/6,176.10 = 1,652.60/x
  3. Step 3: Cross multiply
    4,118.60x = 6,176.10 × 1,652.60
  4. Step 4: Simplify right side
    4,118.60x = 10,206,622.86
  5. Step 5: Solve for x
    x = 10,206,622.86/4,118.60
  6. Step 6: Final answer
    x = 2,478.18

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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.