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Finding the Fourth Proportional to 3,612.08, 5,416.08 and 1,146.44

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Solution

The fourth proportional to 3,612.08, 5,416.08 and 1,146.44 is: 1,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.08 : 5,416.08 = 1,146.44 : x
  2. Step 2: Convert to fraction form
    3,612.08/5,416.08 = 1,146.44/x
  3. Step 3: Cross multiply
    3,612.08x = 5,416.08 × 1,146.44
  4. Step 4: Simplify right side
    3,612.08x = 6,209,210.76
  5. Step 5: Solve for x
    x = 6,209,210.76/3,612.08
  6. Step 6: Final answer
    x = 1,719.01

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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.