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Finding the Fourth Proportional to 5,038.50, 6,953.16 and 2,942.22

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Solution

The fourth proportional to 5,038.50, 6,953.16 and 2,942.22 is: 4,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.50 : 6,953.16 = 2,942.22 : x
  2. Step 2: Convert to fraction form
    5,038.50/6,953.16 = 2,942.22/x
  3. Step 3: Cross multiply
    5,038.50x = 6,953.16 × 2,942.22
  4. Step 4: Simplify right side
    5,038.50x = 20,457,726.42
  5. Step 5: Solve for x
    x = 20,457,726.42/5,038.50
  6. Step 6: Final answer
    x = 4,060.28

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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.