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Finding the Fourth Proportional to 4,703.16, 7,059.60 and 2,973

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Solution

The fourth proportional to 4,703.16, 7,059.60 and 2,973 is: 4,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.16 : 7,059.60 = 2,973 : x
  2. Step 2: Convert to fraction form
    4,703.16/7,059.60 = 2,973/x
  3. Step 3: Cross multiply
    4,703.16x = 7,059.60 × 2,973
  4. Step 4: Simplify right side
    4,703.16x = 20,988,190.80
  5. Step 5: Solve for x
    x = 20,988,190.80/4,703.16
  6. Step 6: Final answer
    x = 4,462.57

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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.