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Finding the Fourth Proportional to 4,205.66, 5,804.08 and 2,342.66

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Solution

The fourth proportional to 4,205.66, 5,804.08 and 2,342.66 is: 3,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.66 : 5,804.08 = 2,342.66 : x
  2. Step 2: Convert to fraction form
    4,205.66/5,804.08 = 2,342.66/x
  3. Step 3: Cross multiply
    4,205.66x = 5,804.08 × 2,342.66
  4. Step 4: Simplify right side
    4,205.66x = 13,596,986.05
  5. Step 5: Solve for x
    x = 13,596,986.05/4,205.66
  6. Step 6: Final answer
    x = 3,233.02

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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.