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Finding the Fourth Proportional to 4,056, 5,596.62 and 2,287.50

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Solution

The fourth proportional to 4,056, 5,596.62 and 2,287.50 is: 3,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056 : 5,596.62 = 2,287.50 : x
  2. Step 2: Convert to fraction form
    4,056/5,596.62 = 2,287.50/x
  3. Step 3: Cross multiply
    4,056x = 5,596.62 × 2,287.50
  4. Step 4: Simplify right side
    4,056x = 12,802,268.25
  5. Step 5: Solve for x
    x = 12,802,268.25/4,056
  6. Step 6: Final answer
    x = 3,156.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.