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Finding the Fourth Proportional to 4,205.70, 5,803.86 and 2,342.70

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Solution

The fourth proportional to 4,205.70, 5,803.86 and 2,342.70 is: 3,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.70 : 5,803.86 = 2,342.70 : x
  2. Step 2: Convert to fraction form
    4,205.70/5,803.86 = 2,342.70/x
  3. Step 3: Cross multiply
    4,205.70x = 5,803.86 × 2,342.70
  4. Step 4: Simplify right side
    4,205.70x = 13,596,702.82
  5. Step 5: Solve for x
    x = 13,596,702.82/4,205.70
  6. Step 6: Final answer
    x = 3,232.92

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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.