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Finding the Fourth Proportional to 4,161.02, 5,742.16 and 2,298.02

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Solution

The fourth proportional to 4,161.02, 5,742.16 and 2,298.02 is: 3,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.02 : 5,742.16 = 2,298.02 : x
  2. Step 2: Convert to fraction form
    4,161.02/5,742.16 = 2,298.02/x
  3. Step 3: Cross multiply
    4,161.02x = 5,742.16 × 2,298.02
  4. Step 4: Simplify right side
    4,161.02x = 13,195,598.52
  5. Step 5: Solve for x
    x = 13,195,598.52/4,161.02
  6. Step 6: Final answer
    x = 3,171.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.