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Finding the Fourth Proportional to 4,234.16, 5,840.76 and 2,990

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Solution

The fourth proportional to 4,234.16, 5,840.76 and 2,990 is: 4,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.16 : 5,840.76 = 2,990 : x
  2. Step 2: Convert to fraction form
    4,234.16/5,840.76 = 2,990/x
  3. Step 3: Cross multiply
    4,234.16x = 5,840.76 × 2,990
  4. Step 4: Simplify right side
    4,234.16x = 17,463,872.40
  5. Step 5: Solve for x
    x = 17,463,872.40/4,234.16
  6. Step 6: Final answer
    x = 4,124.52

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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.