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Finding the Fourth Proportional to 4,205.72, 5,803.95 and 2,342.72

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Solution

The fourth proportional to 4,205.72, 5,803.95 and 2,342.72 is: 3,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.72 : 5,803.95 = 2,342.72 : x
  2. Step 2: Convert to fraction form
    4,205.72/5,803.95 = 2,342.72/x
  3. Step 3: Cross multiply
    4,205.72x = 5,803.95 × 2,342.72
  4. Step 4: Simplify right side
    4,205.72x = 13,597,000.72
  5. Step 5: Solve for x
    x = 13,597,000.72/4,205.72
  6. Step 6: Final answer
    x = 3,232.98

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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.