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Finding the Fourth Proportional to 4,242.30, 5,858.07 and 3,533.82

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Solution

The fourth proportional to 4,242.30, 5,858.07 and 3,533.82 is: 4,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.30 : 5,858.07 = 3,533.82 : x
  2. Step 2: Convert to fraction form
    4,242.30/5,858.07 = 3,533.82/x
  3. Step 3: Cross multiply
    4,242.30x = 5,858.07 × 3,533.82
  4. Step 4: Simplify right side
    4,242.30x = 20,701,364.93
  5. Step 5: Solve for x
    x = 20,701,364.93/4,242.30
  6. Step 6: Final answer
    x = 4,879.75

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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.