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Finding the Fourth Proportional to 4,709.39, 6,498.98 and 2,942.02

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Solution

The fourth proportional to 4,709.39, 6,498.98 and 2,942.02 is: 4,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.39 : 6,498.98 = 2,942.02 : x
  2. Step 2: Convert to fraction form
    4,709.39/6,498.98 = 2,942.02/x
  3. Step 3: Cross multiply
    4,709.39x = 6,498.98 × 2,942.02
  4. Step 4: Simplify right side
    4,709.39x = 19,120,150.13
  5. Step 5: Solve for x
    x = 19,120,150.13/4,709.39
  6. Step 6: Final answer
    x = 4,060.01

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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.