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Finding the Fourth Proportional to 4,734.64, 7,101.42 and 4,039.66

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Solution

The fourth proportional to 4,734.64, 7,101.42 and 4,039.66 is: 6,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.64 : 7,101.42 = 4,039.66 : x
  2. Step 2: Convert to fraction form
    4,734.64/7,101.42 = 4,039.66/x
  3. Step 3: Cross multiply
    4,734.64x = 7,101.42 × 4,039.66
  4. Step 4: Simplify right side
    4,734.64x = 28,687,322.32
  5. Step 5: Solve for x
    x = 28,687,322.32/4,734.64
  6. Step 6: Final answer
    x = 6,059.03

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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.