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Finding the Fourth Proportional to 4,042.08, 6,066 and 1,734.24

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Solution

The fourth proportional to 4,042.08, 6,066 and 1,734.24 is: 2,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.08 : 6,066 = 1,734.24 : x
  2. Step 2: Convert to fraction form
    4,042.08/6,066 = 1,734.24/x
  3. Step 3: Cross multiply
    4,042.08x = 6,066 × 1,734.24
  4. Step 4: Simplify right side
    4,042.08x = 10,519,899.84
  5. Step 5: Solve for x
    x = 10,519,899.84/4,042.08
  6. Step 6: Final answer
    x = 2,602.60

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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.