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Finding the Fourth Proportional to 4,742.92, 6,542.94 and 2,973.88

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Solution

The fourth proportional to 4,742.92, 6,542.94 and 2,973.88 is: 4,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.92 : 6,542.94 = 2,973.88 : x
  2. Step 2: Convert to fraction form
    4,742.92/6,542.94 = 2,973.88/x
  3. Step 3: Cross multiply
    4,742.92x = 6,542.94 × 2,973.88
  4. Step 4: Simplify right side
    4,742.92x = 19,457,918.41
  5. Step 5: Solve for x
    x = 19,457,918.41/4,742.92
  6. Step 6: Final answer
    x = 4,102.52

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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.